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Finding the Fourth Proportional to 2,602.29, 3,591.30 and 1,608.15

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Solution

The fourth proportional to 2,602.29, 3,591.30 and 1,608.15 is: 2,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.29 : 3,591.30 = 1,608.15 : x
  2. Step 2: Convert to fraction form
    2,602.29/3,591.30 = 1,608.15/x
  3. Step 3: Cross multiply
    2,602.29x = 3,591.30 × 1,608.15
  4. Step 4: Simplify right side
    2,602.29x = 5,775,349.10
  5. Step 5: Solve for x
    x = 5,775,349.10/2,602.29
  6. Step 6: Final answer
    x = 2,219.33

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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.