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Finding the Fourth Proportional to 2,040.16, 3,060.16 and 869.57

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Solution

The fourth proportional to 2,040.16, 3,060.16 and 869.57 is: 1,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.16 : 3,060.16 = 869.57 : x
  2. Step 2: Convert to fraction form
    2,040.16/3,060.16 = 869.57/x
  3. Step 3: Cross multiply
    2,040.16x = 3,060.16 × 869.57
  4. Step 4: Simplify right side
    2,040.16x = 2,661,023.33
  5. Step 5: Solve for x
    x = 2,661,023.33/2,040.16
  6. Step 6: Final answer
    x = 1,304.32

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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.