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Finding the Fourth Proportional to 1,761.56, 2,643.30 and 992.12

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Solution

The fourth proportional to 1,761.56, 2,643.30 and 992.12 is: 1,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.56 : 2,643.30 = 992.12 : x
  2. Step 2: Convert to fraction form
    1,761.56/2,643.30 = 992.12/x
  3. Step 3: Cross multiply
    1,761.56x = 2,643.30 × 992.12
  4. Step 4: Simplify right side
    1,761.56x = 2,622,470.80
  5. Step 5: Solve for x
    x = 2,622,470.80/1,761.56
  6. Step 6: Final answer
    x = 1,488.72

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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.