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Finding the Fourth Proportional to 2,702.16, 4,051.50 and 2,182.80

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Solution

The fourth proportional to 2,702.16, 4,051.50 and 2,182.80 is: 3,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.16 : 4,051.50 = 2,182.80 : x
  2. Step 2: Convert to fraction form
    2,702.16/4,051.50 = 2,182.80/x
  3. Step 3: Cross multiply
    2,702.16x = 4,051.50 × 2,182.80
  4. Step 4: Simplify right side
    2,702.16x = 8,843,614.20
  5. Step 5: Solve for x
    x = 8,843,614.20/2,702.16
  6. Step 6: Final answer
    x = 3,272.79

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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.