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Finding the Fourth Proportional to 1,843.96, 2,545.60 and 1,214.90

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Solution

The fourth proportional to 1,843.96, 2,545.60 and 1,214.90 is: 1,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.96 : 2,545.60 = 1,214.90 : x
  2. Step 2: Convert to fraction form
    1,843.96/2,545.60 = 1,214.90/x
  3. Step 3: Cross multiply
    1,843.96x = 2,545.60 × 1,214.90
  4. Step 4: Simplify right side
    1,843.96x = 3,092,649.44
  5. Step 5: Solve for x
    x = 3,092,649.44/1,843.96
  6. Step 6: Final answer
    x = 1,677.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.