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Finding the Fourth Proportional to 3,470.71, 4,788.83 and 1,978.22

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Solution

The fourth proportional to 3,470.71, 4,788.83 and 1,978.22 is: 2,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.71 : 4,788.83 = 1,978.22 : x
  2. Step 2: Convert to fraction form
    3,470.71/4,788.83 = 1,978.22/x
  3. Step 3: Cross multiply
    3,470.71x = 4,788.83 × 1,978.22
  4. Step 4: Simplify right side
    3,470.71x = 9,473,349.39
  5. Step 5: Solve for x
    x = 9,473,349.39/3,470.71
  6. Step 6: Final answer
    x = 2,729.52

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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.