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Finding the Fourth Proportional to 2,344.70, 3,237.17 and 1,505.75

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Solution

The fourth proportional to 2,344.70, 3,237.17 and 1,505.75 is: 2,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.70 : 3,237.17 = 1,505.75 : x
  2. Step 2: Convert to fraction form
    2,344.70/3,237.17 = 1,505.75/x
  3. Step 3: Cross multiply
    2,344.70x = 3,237.17 × 1,505.75
  4. Step 4: Simplify right side
    2,344.70x = 4,874,345.01
  5. Step 5: Solve for x
    x = 4,874,345.01/2,344.70
  6. Step 6: Final answer
    x = 2,078.88

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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.