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Finding the Fourth Proportional to 1,610.80, 2,224.68 and 1,114.96

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Solution

The fourth proportional to 1,610.80, 2,224.68 and 1,114.96 is: 1,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.80 : 2,224.68 = 1,114.96 : x
  2. Step 2: Convert to fraction form
    1,610.80/2,224.68 = 1,114.96/x
  3. Step 3: Cross multiply
    1,610.80x = 2,224.68 × 1,114.96
  4. Step 4: Simplify right side
    1,610.80x = 2,480,429.21
  5. Step 5: Solve for x
    x = 2,480,429.21/1,610.80
  6. Step 6: Final answer
    x = 1,539.87

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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.