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Finding the Fourth Proportional to 2,874.68, 4,315.66 and 2,444.57

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Solution

The fourth proportional to 2,874.68, 4,315.66 and 2,444.57 is: 3,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.68 : 4,315.66 = 2,444.57 : x
  2. Step 2: Convert to fraction form
    2,874.68/4,315.66 = 2,444.57/x
  3. Step 3: Cross multiply
    2,874.68x = 4,315.66 × 2,444.57
  4. Step 4: Simplify right side
    2,874.68x = 10,549,932.97
  5. Step 5: Solve for x
    x = 10,549,932.97/2,874.68
  6. Step 6: Final answer
    x = 3,669.95

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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.