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Finding the Fourth Proportional to 2,034.71, 3,046.28 and 1,339.28

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Solution

The fourth proportional to 2,034.71, 3,046.28 and 1,339.28 is: 2,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.71 : 3,046.28 = 1,339.28 : x
  2. Step 2: Convert to fraction form
    2,034.71/3,046.28 = 1,339.28/x
  3. Step 3: Cross multiply
    2,034.71x = 3,046.28 × 1,339.28
  4. Step 4: Simplify right side
    2,034.71x = 4,079,799.95
  5. Step 5: Solve for x
    x = 4,079,799.95/2,034.71
  6. Step 6: Final answer
    x = 2,005.11

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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.