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Finding the Fourth Proportional to 2,960.92, 4,442.08 and 1,013.08

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Solution

The fourth proportional to 2,960.92, 4,442.08 and 1,013.08 is: 1,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.92 : 4,442.08 = 1,013.08 : x
  2. Step 2: Convert to fraction form
    2,960.92/4,442.08 = 1,013.08/x
  3. Step 3: Cross multiply
    2,960.92x = 4,442.08 × 1,013.08
  4. Step 4: Simplify right side
    2,960.92x = 4,500,182.41
  5. Step 5: Solve for x
    x = 4,500,182.41/2,960.92
  6. Step 6: Final answer
    x = 1,519.86

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Why These Related Problems?

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