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Finding the Fourth Proportional to 3,017.50, 4,520.62 and 1,781.25

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Solution

The fourth proportional to 3,017.50, 4,520.62 and 1,781.25 is: 2,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.50 : 4,520.62 = 1,781.25 : x
  2. Step 2: Convert to fraction form
    3,017.50/4,520.62 = 1,781.25/x
  3. Step 3: Cross multiply
    3,017.50x = 4,520.62 × 1,781.25
  4. Step 4: Simplify right side
    3,017.50x = 8,052,354.38
  5. Step 5: Solve for x
    x = 8,052,354.38/3,017.50
  6. Step 6: Final answer
    x = 2,668.55

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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.