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Finding the Fourth Proportional to 1,571.08, 2,356.14 and 748.92

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Solution

The fourth proportional to 1,571.08, 2,356.14 and 748.92 is: 1,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.08 : 2,356.14 = 748.92 : x
  2. Step 2: Convert to fraction form
    1,571.08/2,356.14 = 748.92/x
  3. Step 3: Cross multiply
    1,571.08x = 2,356.14 × 748.92
  4. Step 4: Simplify right side
    1,571.08x = 1,764,560.37
  5. Step 5: Solve for x
    x = 1,764,560.37/1,571.08
  6. Step 6: Final answer
    x = 1,123.15

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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.