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Finding the Fourth Proportional to 1,278.86, 1,763.36 and 1,092.02

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Solution

The fourth proportional to 1,278.86, 1,763.36 and 1,092.02 is: 1,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.86 : 1,763.36 = 1,092.02 : x
  2. Step 2: Convert to fraction form
    1,278.86/1,763.36 = 1,092.02/x
  3. Step 3: Cross multiply
    1,278.86x = 1,763.36 × 1,092.02
  4. Step 4: Simplify right side
    1,278.86x = 1,925,624.39
  5. Step 5: Solve for x
    x = 1,925,624.39/1,278.86
  6. Step 6: Final answer
    x = 1,505.74

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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.