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Finding the Fourth Proportional to 3,056.77, 4,585.17 and 748.27

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Solution

The fourth proportional to 3,056.77, 4,585.17 and 748.27 is: 1,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.77 : 4,585.17 = 748.27 : x
  2. Step 2: Convert to fraction form
    3,056.77/4,585.17 = 748.27/x
  3. Step 3: Cross multiply
    3,056.77x = 4,585.17 × 748.27
  4. Step 4: Simplify right side
    3,056.77x = 3,430,945.16
  5. Step 5: Solve for x
    x = 3,430,945.16/3,056.77
  6. Step 6: Final answer
    x = 1,122.41

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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.