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Finding the Fourth Proportional to 1,211.60, 1,665.51 and 1,092.80

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Solution

The fourth proportional to 1,211.60, 1,665.51 and 1,092.80 is: 1,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.60 : 1,665.51 = 1,092.80 : x
  2. Step 2: Convert to fraction form
    1,211.60/1,665.51 = 1,092.80/x
  3. Step 3: Cross multiply
    1,211.60x = 1,665.51 × 1,092.80
  4. Step 4: Simplify right side
    1,211.60x = 1,820,069.33
  5. Step 5: Solve for x
    x = 1,820,069.33/1,211.60
  6. Step 6: Final answer
    x = 1,502.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.