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Finding the Fourth Proportional to 2,761.40, 4,142.10 and 813.36

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Solution

The fourth proportional to 2,761.40, 4,142.10 and 813.36 is: 1,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.40 : 4,142.10 = 813.36 : x
  2. Step 2: Convert to fraction form
    2,761.40/4,142.10 = 813.36/x
  3. Step 3: Cross multiply
    2,761.40x = 4,142.10 × 813.36
  4. Step 4: Simplify right side
    2,761.40x = 3,369,018.46
  5. Step 5: Solve for x
    x = 3,369,018.46/2,761.40
  6. Step 6: Final answer
    x = 1,220.04

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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.