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Finding the Fourth Proportional to 2,047.57, 3,071.76 and 748.87

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Solution

The fourth proportional to 2,047.57, 3,071.76 and 748.87 is: 1,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.57 : 3,071.76 = 748.87 : x
  2. Step 2: Convert to fraction form
    2,047.57/3,071.76 = 748.87/x
  3. Step 3: Cross multiply
    2,047.57x = 3,071.76 × 748.87
  4. Step 4: Simplify right side
    2,047.57x = 2,300,348.91
  5. Step 5: Solve for x
    x = 2,300,348.91/2,047.57
  6. Step 6: Final answer
    x = 1,123.45

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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.