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Finding the Fourth Proportional to 2,986.57, 4,479.86 and 1,342.23

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Solution

The fourth proportional to 2,986.57, 4,479.86 and 1,342.23 is: 2,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.57 : 4,479.86 = 1,342.23 : x
  2. Step 2: Convert to fraction form
    2,986.57/4,479.86 = 1,342.23/x
  3. Step 3: Cross multiply
    2,986.57x = 4,479.86 × 1,342.23
  4. Step 4: Simplify right side
    2,986.57x = 6,013,002.49
  5. Step 5: Solve for x
    x = 6,013,002.49/2,986.57
  6. Step 6: Final answer
    x = 2,013.35

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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.