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Finding the Fourth Proportional to 2,651.31, 3,658.93 and 1,532.40

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Solution

The fourth proportional to 2,651.31, 3,658.93 and 1,532.40 is: 2,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.31 : 3,658.93 = 1,532.40 : x
  2. Step 2: Convert to fraction form
    2,651.31/3,658.93 = 1,532.40/x
  3. Step 3: Cross multiply
    2,651.31x = 3,658.93 × 1,532.40
  4. Step 4: Simplify right side
    2,651.31x = 5,606,944.33
  5. Step 5: Solve for x
    x = 5,606,944.33/2,651.31
  6. Step 6: Final answer
    x = 2,114.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.