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Finding the Fourth Proportional to 2,034.61, 3,052.14 and 801.86

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Solution

The fourth proportional to 2,034.61, 3,052.14 and 801.86 is: 1,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.61 : 3,052.14 = 801.86 : x
  2. Step 2: Convert to fraction form
    2,034.61/3,052.14 = 801.86/x
  3. Step 3: Cross multiply
    2,034.61x = 3,052.14 × 801.86
  4. Step 4: Simplify right side
    2,034.61x = 2,447,388.98
  5. Step 5: Solve for x
    x = 2,447,388.98/2,034.61
  6. Step 6: Final answer
    x = 1,202.88

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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.