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Finding the Fourth Proportional to 1,349.22, 2,023.15 and 618.17

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Solution

The fourth proportional to 1,349.22, 2,023.15 and 618.17 is: 926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.22 : 2,023.15 = 618.17 : x
  2. Step 2: Convert to fraction form
    1,349.22/2,023.15 = 618.17/x
  3. Step 3: Cross multiply
    1,349.22x = 2,023.15 × 618.17
  4. Step 4: Simplify right side
    1,349.22x = 1,250,654.15
  5. Step 5: Solve for x
    x = 1,250,654.15/1,349.22
  6. Step 6: Final answer
    x = 926.94

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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.