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Finding the Fourth Proportional to 2,434.97, 3,644.26 and 1,507.32

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Solution

The fourth proportional to 2,434.97, 3,644.26 and 1,507.32 is: 2,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.97 : 3,644.26 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    2,434.97/3,644.26 = 1,507.32/x
  3. Step 3: Cross multiply
    2,434.97x = 3,644.26 × 1,507.32
  4. Step 4: Simplify right side
    2,434.97x = 5,493,062.21
  5. Step 5: Solve for x
    x = 5,493,062.21/2,434.97
  6. Step 6: Final answer
    x = 2,255.90

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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.