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Finding the Fourth Proportional to 2,660.19, 3,990.69 and 1,565.61

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Solution

The fourth proportional to 2,660.19, 3,990.69 and 1,565.61 is: 2,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.19 : 3,990.69 = 1,565.61 : x
  2. Step 2: Convert to fraction form
    2,660.19/3,990.69 = 1,565.61/x
  3. Step 3: Cross multiply
    2,660.19x = 3,990.69 × 1,565.61
  4. Step 4: Simplify right side
    2,660.19x = 6,247,864.17
  5. Step 5: Solve for x
    x = 6,247,864.17/2,660.19
  6. Step 6: Final answer
    x = 2,348.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.