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Finding the Fourth Proportional to 2,066.90, 3,099.71 and 1,092.47

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Solution

The fourth proportional to 2,066.90, 3,099.71 and 1,092.47 is: 1,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.90 : 3,099.71 = 1,092.47 : x
  2. Step 2: Convert to fraction form
    2,066.90/3,099.71 = 1,092.47/x
  3. Step 3: Cross multiply
    2,066.90x = 3,099.71 × 1,092.47
  4. Step 4: Simplify right side
    2,066.90x = 3,386,319.22
  5. Step 5: Solve for x
    x = 3,386,319.22/2,066.90
  6. Step 6: Final answer
    x = 1,638.36

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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.