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Finding the Fourth Proportional to 1,755.27, 2,422.30 and 969.32

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Solution

The fourth proportional to 1,755.27, 2,422.30 and 969.32 is: 1,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.27 : 2,422.30 = 969.32 : x
  2. Step 2: Convert to fraction form
    1,755.27/2,422.30 = 969.32/x
  3. Step 3: Cross multiply
    1,755.27x = 2,422.30 × 969.32
  4. Step 4: Simplify right side
    1,755.27x = 2,347,983.84
  5. Step 5: Solve for x
    x = 2,347,983.84/1,755.27
  6. Step 6: Final answer
    x = 1,337.68

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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.