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Finding the Fourth Proportional to 2,900.39, 4,002.55 and 1,641.44

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Solution

The fourth proportional to 2,900.39, 4,002.55 and 1,641.44 is: 2,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.39 : 4,002.55 = 1,641.44 : x
  2. Step 2: Convert to fraction form
    2,900.39/4,002.55 = 1,641.44/x
  3. Step 3: Cross multiply
    2,900.39x = 4,002.55 × 1,641.44
  4. Step 4: Simplify right side
    2,900.39x = 6,569,951.57
  5. Step 5: Solve for x
    x = 6,569,951.57/2,900.39
  6. Step 6: Final answer
    x = 2,265.20

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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.