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Finding the Fourth Proportional to 2,761.94, 4,143.42 and 913.59

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Solution

The fourth proportional to 2,761.94, 4,143.42 and 913.59 is: 1,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.94 : 4,143.42 = 913.59 : x
  2. Step 2: Convert to fraction form
    2,761.94/4,143.42 = 913.59/x
  3. Step 3: Cross multiply
    2,761.94x = 4,143.42 × 913.59
  4. Step 4: Simplify right side
    2,761.94x = 3,785,387.08
  5. Step 5: Solve for x
    x = 3,785,387.08/2,761.94
  6. Step 6: Final answer
    x = 1,370.56

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1.5x scale

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.