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Finding the Fourth Proportional to 2,742.80, 4,114.20 and 1,587.20

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Solution

The fourth proportional to 2,742.80, 4,114.20 and 1,587.20 is: 2,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.80 : 4,114.20 = 1,587.20 : x
  2. Step 2: Convert to fraction form
    2,742.80/4,114.20 = 1,587.20/x
  3. Step 3: Cross multiply
    2,742.80x = 4,114.20 × 1,587.20
  4. Step 4: Simplify right side
    2,742.80x = 6,530,058.24
  5. Step 5: Solve for x
    x = 6,530,058.24/2,742.80
  6. Step 6: Final answer
    x = 2,380.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.