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Finding the Fourth Proportional to 1,755.46, 2,422.31 and 969.46

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Solution

The fourth proportional to 1,755.46, 2,422.31 and 969.46 is: 1,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.46 : 2,422.31 = 969.46 : x
  2. Step 2: Convert to fraction form
    1,755.46/2,422.31 = 969.46/x
  3. Step 3: Cross multiply
    1,755.46x = 2,422.31 × 969.46
  4. Step 4: Simplify right side
    1,755.46x = 2,348,335.38
  5. Step 5: Solve for x
    x = 2,348,335.38/1,755.46
  6. Step 6: Final answer
    x = 1,337.73

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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.