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Finding the Fourth Proportional to 1,461.84, 2,191.14 and 595.14

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Solution

The fourth proportional to 1,461.84, 2,191.14 and 595.14 is: 892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.84 : 2,191.14 = 595.14 : x
  2. Step 2: Convert to fraction form
    1,461.84/2,191.14 = 595.14/x
  3. Step 3: Cross multiply
    1,461.84x = 2,191.14 × 595.14
  4. Step 4: Simplify right side
    1,461.84x = 1,304,035.06
  5. Step 5: Solve for x
    x = 1,304,035.06/1,461.84
  6. Step 6: Final answer
    x = 892.05

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.