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Finding the Fourth Proportional to 2,601.52, 3,587.02 and 2,102.61

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Solution

The fourth proportional to 2,601.52, 3,587.02 and 2,102.61 is: 2,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,587.02 = 2,102.61 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,587.02 = 2,102.61/x
  3. Step 3: Cross multiply
    2,601.52x = 3,587.02 × 2,102.61
  4. Step 4: Simplify right side
    2,601.52x = 7,542,104.12
  5. Step 5: Solve for x
    x = 7,542,104.12/2,601.52
  6. Step 6: Final answer
    x = 2,899.11

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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.