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Finding the Fourth Proportional to 1,905.62, 2,854.38 and 1,083.47

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Solution

The fourth proportional to 1,905.62, 2,854.38 and 1,083.47 is: 1,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.62 : 2,854.38 = 1,083.47 : x
  2. Step 2: Convert to fraction form
    1,905.62/2,854.38 = 1,083.47/x
  3. Step 3: Cross multiply
    1,905.62x = 2,854.38 × 1,083.47
  4. Step 4: Simplify right side
    1,905.62x = 3,092,635.10
  5. Step 5: Solve for x
    x = 3,092,635.10/1,905.62
  6. Step 6: Final answer
    x = 1,622.90

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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.