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Finding the Fourth Proportional to 1,340.88, 2,002.15 and 1,201.16

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Solution

The fourth proportional to 1,340.88, 2,002.15 and 1,201.16 is: 1,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.88 : 2,002.15 = 1,201.16 : x
  2. Step 2: Convert to fraction form
    1,340.88/2,002.15 = 1,201.16/x
  3. Step 3: Cross multiply
    1,340.88x = 2,002.15 × 1,201.16
  4. Step 4: Simplify right side
    1,340.88x = 2,404,889.48
  5. Step 5: Solve for x
    x = 2,404,889.48/1,340.88
  6. Step 6: Final answer
    x = 1,793.52

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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.