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Finding the Fourth Proportional to 1,572.48, 2,357.12 and 1,025.76

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Solution

The fourth proportional to 1,572.48, 2,357.12 and 1,025.76 is: 1,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.48 : 2,357.12 = 1,025.76 : x
  2. Step 2: Convert to fraction form
    1,572.48/2,357.12 = 1,025.76/x
  3. Step 3: Cross multiply
    1,572.48x = 2,357.12 × 1,025.76
  4. Step 4: Simplify right side
    1,572.48x = 2,417,839.41
  5. Step 5: Solve for x
    x = 2,417,839.41/1,572.48
  6. Step 6: Final answer
    x = 1,537.60

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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.