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Finding the Fourth Proportional to 1,801.44, 2,702.16 and 1,216.80

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Solution

The fourth proportional to 1,801.44, 2,702.16 and 1,216.80 is: 1,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.44 : 2,702.16 = 1,216.80 : x
  2. Step 2: Convert to fraction form
    1,801.44/2,702.16 = 1,216.80/x
  3. Step 3: Cross multiply
    1,801.44x = 2,702.16 × 1,216.80
  4. Step 4: Simplify right side
    1,801.44x = 3,287,988.29
  5. Step 5: Solve for x
    x = 3,287,988.29/1,801.44
  6. Step 6: Final answer
    x = 1,825.20

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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.