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Finding the Fourth Proportional to 2,657.24, 3,666.12 and 1,608.92

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Solution

The fourth proportional to 2,657.24, 3,666.12 and 1,608.92 is: 2,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.24 : 3,666.12 = 1,608.92 : x
  2. Step 2: Convert to fraction form
    2,657.24/3,666.12 = 1,608.92/x
  3. Step 3: Cross multiply
    2,657.24x = 3,666.12 × 1,608.92
  4. Step 4: Simplify right side
    2,657.24x = 5,898,493.79
  5. Step 5: Solve for x
    x = 5,898,493.79/2,657.24
  6. Step 6: Final answer
    x = 2,219.78

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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.