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Finding the Fourth Proportional to 2,433.46, 3,649.31 and 1,507.62

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Solution

The fourth proportional to 2,433.46, 3,649.31 and 1,507.62 is: 2,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.46 : 3,649.31 = 1,507.62 : x
  2. Step 2: Convert to fraction form
    2,433.46/3,649.31 = 1,507.62/x
  3. Step 3: Cross multiply
    2,433.46x = 3,649.31 × 1,507.62
  4. Step 4: Simplify right side
    2,433.46x = 5,501,772.74
  5. Step 5: Solve for x
    x = 5,501,772.74/2,433.46
  6. Step 6: Final answer
    x = 2,260.88

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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.