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Finding the Fourth Proportional to 2,782.44, 4,165.02 and 2,013.48

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Solution

The fourth proportional to 2,782.44, 4,165.02 and 2,013.48 is: 3,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.44 : 4,165.02 = 2,013.48 : x
  2. Step 2: Convert to fraction form
    2,782.44/4,165.02 = 2,013.48/x
  3. Step 3: Cross multiply
    2,782.44x = 4,165.02 × 2,013.48
  4. Step 4: Simplify right side
    2,782.44x = 8,386,184.47
  5. Step 5: Solve for x
    x = 8,386,184.47/2,782.44
  6. Step 6: Final answer
    x = 3,013.97

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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.