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Finding the Fourth Proportional to 1,476.62, 2,214.74 and 927.12

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Solution

The fourth proportional to 1,476.62, 2,214.74 and 927.12 is: 1,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.62 : 2,214.74 = 927.12 : x
  2. Step 2: Convert to fraction form
    1,476.62/2,214.74 = 927.12/x
  3. Step 3: Cross multiply
    1,476.62x = 2,214.74 × 927.12
  4. Step 4: Simplify right side
    1,476.62x = 2,053,325.11
  5. Step 5: Solve for x
    x = 2,053,325.11/1,476.62
  6. Step 6: Final answer
    x = 1,390.56

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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.