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Finding the Fourth Proportional to 1,645.52, 2,266.08 and 1,613.12

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Solution

The fourth proportional to 1,645.52, 2,266.08 and 1,613.12 is: 2,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.52 : 2,266.08 = 1,613.12 : x
  2. Step 2: Convert to fraction form
    1,645.52/2,266.08 = 1,613.12/x
  3. Step 3: Cross multiply
    1,645.52x = 2,266.08 × 1,613.12
  4. Step 4: Simplify right side
    1,645.52x = 3,655,458.97
  5. Step 5: Solve for x
    x = 3,655,458.97/1,645.52
  6. Step 6: Final answer
    x = 2,221.46

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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.