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Finding the Fourth Proportional to 1,572.12, 2,358.54 and 476.51

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Solution

The fourth proportional to 1,572.12, 2,358.54 and 476.51 is: 714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.12 : 2,358.54 = 476.51 : x
  2. Step 2: Convert to fraction form
    1,572.12/2,358.54 = 476.51/x
  3. Step 3: Cross multiply
    1,572.12x = 2,358.54 × 476.51
  4. Step 4: Simplify right side
    1,572.12x = 1,123,856.10
  5. Step 5: Solve for x
    x = 1,123,856.10/1,572.12
  6. Step 6: Final answer
    x = 714.87

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