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Finding the Fourth Proportional to 1,615.18, 2,229.74 and 1,083.87

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Solution

The fourth proportional to 1,615.18, 2,229.74 and 1,083.87 is: 1,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.18 : 2,229.74 = 1,083.87 : x
  2. Step 2: Convert to fraction form
    1,615.18/2,229.74 = 1,083.87/x
  3. Step 3: Cross multiply
    1,615.18x = 2,229.74 × 1,083.87
  4. Step 4: Simplify right side
    1,615.18x = 2,416,742.87
  5. Step 5: Solve for x
    x = 2,416,742.87/1,615.18
  6. Step 6: Final answer
    x = 1,496.27

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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.