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Finding the Fourth Proportional to 2,810.97, 4,218.34 and 1,167.52

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Solution

The fourth proportional to 2,810.97, 4,218.34 and 1,167.52 is: 1,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.97 : 4,218.34 = 1,167.52 : x
  2. Step 2: Convert to fraction form
    2,810.97/4,218.34 = 1,167.52/x
  3. Step 3: Cross multiply
    2,810.97x = 4,218.34 × 1,167.52
  4. Step 4: Simplify right side
    2,810.97x = 4,924,996.32
  5. Step 5: Solve for x
    x = 4,924,996.32/2,810.97
  6. Step 6: Final answer
    x = 1,752.06

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