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Finding the Fourth Proportional to 1,260.78, 1,881.93 and 1,168.13

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Solution

The fourth proportional to 1,260.78, 1,881.93 and 1,168.13 is: 1,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.78 : 1,881.93 = 1,168.13 : x
  2. Step 2: Convert to fraction form
    1,260.78/1,881.93 = 1,168.13/x
  3. Step 3: Cross multiply
    1,260.78x = 1,881.93 × 1,168.13
  4. Step 4: Simplify right side
    1,260.78x = 2,198,329.48
  5. Step 5: Solve for x
    x = 2,198,329.48/1,260.78
  6. Step 6: Final answer
    x = 1,743.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.