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Finding the Fourth Proportional to 2,603.68, 3,591.09 and 1,659.64

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Solution

The fourth proportional to 2,603.68, 3,591.09 and 1,659.64 is: 2,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.68 : 3,591.09 = 1,659.64 : x
  2. Step 2: Convert to fraction form
    2,603.68/3,591.09 = 1,659.64/x
  3. Step 3: Cross multiply
    2,603.68x = 3,591.09 × 1,659.64
  4. Step 4: Simplify right side
    2,603.68x = 5,959,916.61
  5. Step 5: Solve for x
    x = 5,959,916.61/2,603.68
  6. Step 6: Final answer
    x = 2,289.04

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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.