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Finding the Fourth Proportional to 2,494.98, 3,443.31 and 1,432.89

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Solution

The fourth proportional to 2,494.98, 3,443.31 and 1,432.89 is: 1,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.98 : 3,443.31 = 1,432.89 : x
  2. Step 2: Convert to fraction form
    2,494.98/3,443.31 = 1,432.89/x
  3. Step 3: Cross multiply
    2,494.98x = 3,443.31 × 1,432.89
  4. Step 4: Simplify right side
    2,494.98x = 4,933,860.08
  5. Step 5: Solve for x
    x = 4,933,860.08/2,494.98
  6. Step 6: Final answer
    x = 1,977.51

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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.