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Finding the Fourth Proportional to 2,598.08, 3,896.39 and 748.69

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Solution

The fourth proportional to 2,598.08, 3,896.39 and 748.69 is: 1,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.08 : 3,896.39 = 748.69 : x
  2. Step 2: Convert to fraction form
    2,598.08/3,896.39 = 748.69/x
  3. Step 3: Cross multiply
    2,598.08x = 3,896.39 × 748.69
  4. Step 4: Simplify right side
    2,598.08x = 2,917,188.23
  5. Step 5: Solve for x
    x = 2,917,188.23/2,598.08
  6. Step 6: Final answer
    x = 1,122.82

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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.