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Finding the Fourth Proportional to 2,584.40, 3,877.16 and 853.04

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Solution

The fourth proportional to 2,584.40, 3,877.16 and 853.04 is: 1,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.40 : 3,877.16 = 853.04 : x
  2. Step 2: Convert to fraction form
    2,584.40/3,877.16 = 853.04/x
  3. Step 3: Cross multiply
    2,584.40x = 3,877.16 × 853.04
  4. Step 4: Simplify right side
    2,584.40x = 3,307,372.57
  5. Step 5: Solve for x
    x = 3,307,372.57/2,584.40
  6. Step 6: Final answer
    x = 1,279.74

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Why These Related Problems?

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