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Finding the Fourth Proportional to 3,259.92, 4,498.71 and 1,767.85

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Solution

The fourth proportional to 3,259.92, 4,498.71 and 1,767.85 is: 2,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.92 : 4,498.71 = 1,767.85 : x
  2. Step 2: Convert to fraction form
    3,259.92/4,498.71 = 1,767.85/x
  3. Step 3: Cross multiply
    3,259.92x = 4,498.71 × 1,767.85
  4. Step 4: Simplify right side
    3,259.92x = 7,953,044.47
  5. Step 5: Solve for x
    x = 7,953,044.47/3,259.92
  6. Step 6: Final answer
    x = 2,439.64

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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.