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Finding the Fourth Proportional to 3,187.71, 4,398.98 and 1,790.46

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Solution

The fourth proportional to 3,187.71, 4,398.98 and 1,790.46 is: 2,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.71 : 4,398.98 = 1,790.46 : x
  2. Step 2: Convert to fraction form
    3,187.71/4,398.98 = 1,790.46/x
  3. Step 3: Cross multiply
    3,187.71x = 4,398.98 × 1,790.46
  4. Step 4: Simplify right side
    3,187.71x = 7,876,188.78
  5. Step 5: Solve for x
    x = 7,876,188.78/3,187.71
  6. Step 6: Final answer
    x = 2,470.80

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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.