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Finding the Fourth Proportional to 1,934.46, 2,901.84 and 701.88

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Solution

The fourth proportional to 1,934.46, 2,901.84 and 701.88 is: 1,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.46 : 2,901.84 = 701.88 : x
  2. Step 2: Convert to fraction form
    1,934.46/2,901.84 = 701.88/x
  3. Step 3: Cross multiply
    1,934.46x = 2,901.84 × 701.88
  4. Step 4: Simplify right side
    1,934.46x = 2,036,743.46
  5. Step 5: Solve for x
    x = 2,036,743.46/1,934.46
  6. Step 6: Final answer
    x = 1,052.87

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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.