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Finding the Fourth Proportional to 2,762.61, 4,143.92 and 1,377.66

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Solution

The fourth proportional to 2,762.61, 4,143.92 and 1,377.66 is: 2,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.61 : 4,143.92 = 1,377.66 : x
  2. Step 2: Convert to fraction form
    2,762.61/4,143.92 = 1,377.66/x
  3. Step 3: Cross multiply
    2,762.61x = 4,143.92 × 1,377.66
  4. Step 4: Simplify right side
    2,762.61x = 5,708,912.83
  5. Step 5: Solve for x
    x = 5,708,912.83/2,762.61
  6. Step 6: Final answer
    x = 2,066.49

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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.