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Finding the Fourth Proportional to 1,843.52, 2,765.28 and 610.46

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Solution

The fourth proportional to 1,843.52, 2,765.28 and 610.46 is: 915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.52 : 2,765.28 = 610.46 : x
  2. Step 2: Convert to fraction form
    1,843.52/2,765.28 = 610.46/x
  3. Step 3: Cross multiply
    1,843.52x = 2,765.28 × 610.46
  4. Step 4: Simplify right side
    1,843.52x = 1,688,092.83
  5. Step 5: Solve for x
    x = 1,688,092.83/1,843.52
  6. Step 6: Final answer
    x = 915.69

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