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Finding the Fourth Proportional to 1,744.02, 2,613.48 and 877.14

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Solution

The fourth proportional to 1,744.02, 2,613.48 and 877.14 is: 1,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.02 : 2,613.48 = 877.14 : x
  2. Step 2: Convert to fraction form
    1,744.02/2,613.48 = 877.14/x
  3. Step 3: Cross multiply
    1,744.02x = 2,613.48 × 877.14
  4. Step 4: Simplify right side
    1,744.02x = 2,292,387.85
  5. Step 5: Solve for x
    x = 2,292,387.85/1,744.02
  6. Step 6: Final answer
    x = 1,314.43

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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.