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Finding the Fourth Proportional to 2,642.40, 3,956.31 and 1,337.49

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Solution

The fourth proportional to 2,642.40, 3,956.31 and 1,337.49 is: 2,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.40 : 3,956.31 = 1,337.49 : x
  2. Step 2: Convert to fraction form
    2,642.40/3,956.31 = 1,337.49/x
  3. Step 3: Cross multiply
    2,642.40x = 3,956.31 × 1,337.49
  4. Step 4: Simplify right side
    2,642.40x = 5,291,525.06
  5. Step 5: Solve for x
    x = 5,291,525.06/2,642.40
  6. Step 6: Final answer
    x = 2,002.55

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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.