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Finding the Fourth Proportional to 2,578.84, 3,561.17 and 1,874.75

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Solution

The fourth proportional to 2,578.84, 3,561.17 and 1,874.75 is: 2,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.84 : 3,561.17 = 1,874.75 : x
  2. Step 2: Convert to fraction form
    2,578.84/3,561.17 = 1,874.75/x
  3. Step 3: Cross multiply
    2,578.84x = 3,561.17 × 1,874.75
  4. Step 4: Simplify right side
    2,578.84x = 6,676,276.28
  5. Step 5: Solve for x
    x = 6,676,276.28/2,578.84
  6. Step 6: Final answer
    x = 2,588.87

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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.