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Finding the Fourth Proportional to 2,657.12, 3,666.56 and 1,609.12

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Solution

The fourth proportional to 2,657.12, 3,666.56 and 1,609.12 is: 2,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.12 : 3,666.56 = 1,609.12 : x
  2. Step 2: Convert to fraction form
    2,657.12/3,666.56 = 1,609.12/x
  3. Step 3: Cross multiply
    2,657.12x = 3,666.56 × 1,609.12
  4. Step 4: Simplify right side
    2,657.12x = 5,899,935.03
  5. Step 5: Solve for x
    x = 5,899,935.03/2,657.12
  6. Step 6: Final answer
    x = 2,220.42

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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.