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Finding the Fourth Proportional to 2,584.41, 3,560.15 and 1,874.16

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Solution

The fourth proportional to 2,584.41, 3,560.15 and 1,874.16 is: 2,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.41 : 3,560.15 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    2,584.41/3,560.15 = 1,874.16/x
  3. Step 3: Cross multiply
    2,584.41x = 3,560.15 × 1,874.16
  4. Step 4: Simplify right side
    2,584.41x = 6,672,290.72
  5. Step 5: Solve for x
    x = 6,672,290.72/2,584.41
  6. Step 6: Final answer
    x = 2,581.75

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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.