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Finding the Fourth Proportional to 2,597.35, 3,896.05 and 748.46

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Solution

The fourth proportional to 2,597.35, 3,896.05 and 748.46 is: 1,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.35 : 3,896.05 = 748.46 : x
  2. Step 2: Convert to fraction form
    2,597.35/3,896.05 = 748.46/x
  3. Step 3: Cross multiply
    2,597.35x = 3,896.05 × 748.46
  4. Step 4: Simplify right side
    2,597.35x = 2,916,037.58
  5. Step 5: Solve for x
    x = 2,916,037.58/2,597.35
  6. Step 6: Final answer
    x = 1,122.70

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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.