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Finding the Fourth Proportional to 3,443.32, 5,160.62 and 1,687.91

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Solution

The fourth proportional to 3,443.32, 5,160.62 and 1,687.91 is: 2,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.32 : 5,160.62 = 1,687.91 : x
  2. Step 2: Convert to fraction form
    3,443.32/5,160.62 = 1,687.91/x
  3. Step 3: Cross multiply
    3,443.32x = 5,160.62 × 1,687.91
  4. Step 4: Simplify right side
    3,443.32x = 8,710,643.10
  5. Step 5: Solve for x
    x = 8,710,643.10/3,443.32
  6. Step 6: Final answer
    x = 2,529.72

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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.