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Finding the Fourth Proportional to 1,218.90, 1,832.40 and 1,040.70

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Solution

The fourth proportional to 1,218.90, 1,832.40 and 1,040.70 is: 1,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.90 : 1,832.40 = 1,040.70 : x
  2. Step 2: Convert to fraction form
    1,218.90/1,832.40 = 1,040.70/x
  3. Step 3: Cross multiply
    1,218.90x = 1,832.40 × 1,040.70
  4. Step 4: Simplify right side
    1,218.90x = 1,906,978.68
  5. Step 5: Solve for x
    x = 1,906,978.68/1,218.90
  6. Step 6: Final answer
    x = 1,564.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.