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Finding the Fourth Proportional to 1,572.80, 2,357.54 and 1,025.24

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Solution

The fourth proportional to 1,572.80, 2,357.54 and 1,025.24 is: 1,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.80 : 2,357.54 = 1,025.24 : x
  2. Step 2: Convert to fraction form
    1,572.80/2,357.54 = 1,025.24/x
  3. Step 3: Cross multiply
    1,572.80x = 2,357.54 × 1,025.24
  4. Step 4: Simplify right side
    1,572.80x = 2,417,044.31
  5. Step 5: Solve for x
    x = 2,417,044.31/1,572.80
  6. Step 6: Final answer
    x = 1,536.78

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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.