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Finding the Fourth Proportional to 2,702.32, 4,052.90 and 853.58

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Solution

The fourth proportional to 2,702.32, 4,052.90 and 853.58 is: 1,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.32 : 4,052.90 = 853.58 : x
  2. Step 2: Convert to fraction form
    2,702.32/4,052.90 = 853.58/x
  3. Step 3: Cross multiply
    2,702.32x = 4,052.90 × 853.58
  4. Step 4: Simplify right side
    2,702.32x = 3,459,480.25
  5. Step 5: Solve for x
    x = 3,459,480.25/2,702.32
  6. Step 6: Final answer
    x = 1,280.19

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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.