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Finding the Fourth Proportional to 1,934.25, 2,901.37 and 701.66

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Solution

The fourth proportional to 1,934.25, 2,901.37 and 701.66 is: 1,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.25 : 2,901.37 = 701.66 : x
  2. Step 2: Convert to fraction form
    1,934.25/2,901.37 = 701.66/x
  3. Step 3: Cross multiply
    1,934.25x = 2,901.37 × 701.66
  4. Step 4: Simplify right side
    1,934.25x = 2,035,759.01
  5. Step 5: Solve for x
    x = 2,035,759.01/1,934.25
  6. Step 6: Final answer
    x = 1,052.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.