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Finding the Fourth Proportional to 1,609.52, 2,223.48 and 1,087.84

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Solution

The fourth proportional to 1,609.52, 2,223.48 and 1,087.84 is: 1,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.52 : 2,223.48 = 1,087.84 : x
  2. Step 2: Convert to fraction form
    1,609.52/2,223.48 = 1,087.84/x
  3. Step 3: Cross multiply
    1,609.52x = 2,223.48 × 1,087.84
  4. Step 4: Simplify right side
    1,609.52x = 2,418,790.48
  5. Step 5: Solve for x
    x = 2,418,790.48/1,609.52
  6. Step 6: Final answer
    x = 1,502.80

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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.