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Finding the Fourth Proportional to 2,657.12, 3,665.76 and 1,608.80

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Solution

The fourth proportional to 2,657.12, 3,665.76 and 1,608.80 is: 2,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.12 : 3,665.76 = 1,608.80 : x
  2. Step 2: Convert to fraction form
    2,657.12/3,665.76 = 1,608.80/x
  3. Step 3: Cross multiply
    2,657.12x = 3,665.76 × 1,608.80
  4. Step 4: Simplify right side
    2,657.12x = 5,897,474.69
  5. Step 5: Solve for x
    x = 5,897,474.69/2,657.12
  6. Step 6: Final answer
    x = 2,219.50

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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.