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Finding the Fourth Proportional to 2,170.68, 3,254.31 and 1,001.43

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Solution

The fourth proportional to 2,170.68, 3,254.31 and 1,001.43 is: 1,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.68 : 3,254.31 = 1,001.43 : x
  2. Step 2: Convert to fraction form
    2,170.68/3,254.31 = 1,001.43/x
  3. Step 3: Cross multiply
    2,170.68x = 3,254.31 × 1,001.43
  4. Step 4: Simplify right side
    2,170.68x = 3,258,963.66
  5. Step 5: Solve for x
    x = 3,258,963.66/2,170.68
  6. Step 6: Final answer
    x = 1,501.36

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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.