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Finding the Fourth Proportional to 2,597.34, 3,895.34 and 748.10

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Solution

The fourth proportional to 2,597.34, 3,895.34 and 748.10 is: 1,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.34 : 3,895.34 = 748.10 : x
  2. Step 2: Convert to fraction form
    2,597.34/3,895.34 = 748.10/x
  3. Step 3: Cross multiply
    2,597.34x = 3,895.34 × 748.10
  4. Step 4: Simplify right side
    2,597.34x = 2,914,103.85
  5. Step 5: Solve for x
    x = 2,914,103.85/2,597.34
  6. Step 6: Final answer
    x = 1,121.96

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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.