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Finding the Fourth Proportional to 2,503.81, 3,755.57 and 748.82

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Solution

The fourth proportional to 2,503.81, 3,755.57 and 748.82 is: 1,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.81 : 3,755.57 = 748.82 : x
  2. Step 2: Convert to fraction form
    2,503.81/3,755.57 = 748.82/x
  3. Step 3: Cross multiply
    2,503.81x = 3,755.57 × 748.82
  4. Step 4: Simplify right side
    2,503.81x = 2,812,242.18
  5. Step 5: Solve for x
    x = 2,812,242.18/2,503.81
  6. Step 6: Final answer
    x = 1,123.19

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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.