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Finding the Fourth Proportional to 3,478.96, 4,801.17 and 1,987.35

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Solution

The fourth proportional to 3,478.96, 4,801.17 and 1,987.35 is: 2,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.96 : 4,801.17 = 1,987.35 : x
  2. Step 2: Convert to fraction form
    3,478.96/4,801.17 = 1,987.35/x
  3. Step 3: Cross multiply
    3,478.96x = 4,801.17 × 1,987.35
  4. Step 4: Simplify right side
    3,478.96x = 9,541,605.20
  5. Step 5: Solve for x
    x = 9,541,605.20/3,478.96
  6. Step 6: Final answer
    x = 2,742.66

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1.5x scale

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.