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Finding the Fourth Proportional to 3,478.80, 4,801.63 and 1,987.18

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Solution

The fourth proportional to 3,478.80, 4,801.63 and 1,987.18 is: 2,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 4,801.63 = 1,987.18 : x
  2. Step 2: Convert to fraction form
    3,478.80/4,801.63 = 1,987.18/x
  3. Step 3: Cross multiply
    3,478.80x = 4,801.63 × 1,987.18
  4. Step 4: Simplify right side
    3,478.80x = 9,541,716.87
  5. Step 5: Solve for x
    x = 9,541,716.87/3,478.80
  6. Step 6: Final answer
    x = 2,742.82

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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.