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Finding the Fourth Proportional to 2,874.38, 4,314.58 and 2,547.41

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Solution

The fourth proportional to 2,874.38, 4,314.58 and 2,547.41 is: 3,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.38 : 4,314.58 = 2,547.41 : x
  2. Step 2: Convert to fraction form
    2,874.38/4,314.58 = 2,547.41/x
  3. Step 3: Cross multiply
    2,874.38x = 4,314.58 × 2,547.41
  4. Step 4: Simplify right side
    2,874.38x = 10,990,969.93
  5. Step 5: Solve for x
    x = 10,990,969.93/2,874.38
  6. Step 6: Final answer
    x = 3,823.78

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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.