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Finding the Fourth Proportional to 1,352.26, 1,867.17 and 1,057.03

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Solution

The fourth proportional to 1,352.26, 1,867.17 and 1,057.03 is: 1,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.26 : 1,867.17 = 1,057.03 : x
  2. Step 2: Convert to fraction form
    1,352.26/1,867.17 = 1,057.03/x
  3. Step 3: Cross multiply
    1,352.26x = 1,867.17 × 1,057.03
  4. Step 4: Simplify right side
    1,352.26x = 1,973,654.71
  5. Step 5: Solve for x
    x = 1,973,654.71/1,352.26
  6. Step 6: Final answer
    x = 1,459.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.