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Finding the Fourth Proportional to 2,273.47, 3,129.38 and 2,033.60

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Solution

The fourth proportional to 2,273.47, 3,129.38 and 2,033.60 is: 2,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.47 : 3,129.38 = 2,033.60 : x
  2. Step 2: Convert to fraction form
    2,273.47/3,129.38 = 2,033.60/x
  3. Step 3: Cross multiply
    2,273.47x = 3,129.38 × 2,033.60
  4. Step 4: Simplify right side
    2,273.47x = 6,363,888.98
  5. Step 5: Solve for x
    x = 6,363,888.98/2,273.47
  6. Step 6: Final answer
    x = 2,799.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.