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Finding the Fourth Proportional to 3,461.93, 5,192.90 and 963.03

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Solution

The fourth proportional to 3,461.93, 5,192.90 and 963.03 is: 1,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.93 : 5,192.90 = 963.03 : x
  2. Step 2: Convert to fraction form
    3,461.93/5,192.90 = 963.03/x
  3. Step 3: Cross multiply
    3,461.93x = 5,192.90 × 963.03
  4. Step 4: Simplify right side
    3,461.93x = 5,000,918.49
  5. Step 5: Solve for x
    x = 5,000,918.49/3,461.93
  6. Step 6: Final answer
    x = 1,444.55

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Double scale
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Similar ratio
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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.