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Finding the Fourth Proportional to 2,046.84, 3,071.36 and 892.52

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Solution

The fourth proportional to 2,046.84, 3,071.36 and 892.52 is: 1,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.84 : 3,071.36 = 892.52 : x
  2. Step 2: Convert to fraction form
    2,046.84/3,071.36 = 892.52/x
  3. Step 3: Cross multiply
    2,046.84x = 3,071.36 × 892.52
  4. Step 4: Simplify right side
    2,046.84x = 2,741,250.23
  5. Step 5: Solve for x
    x = 2,741,250.23/2,046.84
  6. Step 6: Final answer
    x = 1,339.26

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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.