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Finding the Fourth Proportional to 2,597.49, 3,895.33 and 748.11

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Solution

The fourth proportional to 2,597.49, 3,895.33 and 748.11 is: 1,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.49 : 3,895.33 = 748.11 : x
  2. Step 2: Convert to fraction form
    2,597.49/3,895.33 = 748.11/x
  3. Step 3: Cross multiply
    2,597.49x = 3,895.33 × 748.11
  4. Step 4: Simplify right side
    2,597.49x = 2,914,143.19
  5. Step 5: Solve for x
    x = 2,914,143.19/2,597.49
  6. Step 6: Final answer
    x = 1,121.91

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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.