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Finding the Fourth Proportional to 2,551.40, 3,521.10 and 1,432.42

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Solution

The fourth proportional to 2,551.40, 3,521.10 and 1,432.42 is: 1,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.40 : 3,521.10 = 1,432.42 : x
  2. Step 2: Convert to fraction form
    2,551.40/3,521.10 = 1,432.42/x
  3. Step 3: Cross multiply
    2,551.40x = 3,521.10 × 1,432.42
  4. Step 4: Simplify right side
    2,551.40x = 5,043,694.06
  5. Step 5: Solve for x
    x = 5,043,694.06/2,551.40
  6. Step 6: Final answer
    x = 1,976.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.