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Finding the Fourth Proportional to 2,761.86, 3,810.92 and 1,642.76

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Solution

The fourth proportional to 2,761.86, 3,810.92 and 1,642.76 is: 2,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.86 : 3,810.92 = 1,642.76 : x
  2. Step 2: Convert to fraction form
    2,761.86/3,810.92 = 1,642.76/x
  3. Step 3: Cross multiply
    2,761.86x = 3,810.92 × 1,642.76
  4. Step 4: Simplify right side
    2,761.86x = 6,260,426.94
  5. Step 5: Solve for x
    x = 6,260,426.94/2,761.86
  6. Step 6: Final answer
    x = 2,266.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.