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Finding the Fourth Proportional to 2,065.47, 3,098.81 and 1,092.26

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Solution

The fourth proportional to 2,065.47, 3,098.81 and 1,092.26 is: 1,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.47 : 3,098.81 = 1,092.26 : x
  2. Step 2: Convert to fraction form
    2,065.47/3,098.81 = 1,092.26/x
  3. Step 3: Cross multiply
    2,065.47x = 3,098.81 × 1,092.26
  4. Step 4: Simplify right side
    2,065.47x = 3,384,693.45
  5. Step 5: Solve for x
    x = 3,384,693.45/2,065.47
  6. Step 6: Final answer
    x = 1,638.70

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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.