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Finding the Fourth Proportional to 2,684.42, 4,024.13 and 1,040.61

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Solution

The fourth proportional to 2,684.42, 4,024.13 and 1,040.61 is: 1,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.42 : 4,024.13 = 1,040.61 : x
  2. Step 2: Convert to fraction form
    2,684.42/4,024.13 = 1,040.61/x
  3. Step 3: Cross multiply
    2,684.42x = 4,024.13 × 1,040.61
  4. Step 4: Simplify right side
    2,684.42x = 4,187,544.72
  5. Step 5: Solve for x
    x = 4,187,544.72/2,684.42
  6. Step 6: Final answer
    x = 1,559.95

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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.