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Finding the Fourth Proportional to 1,901.92, 2,624.57 and 1,194.13

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Solution

The fourth proportional to 1,901.92, 2,624.57 and 1,194.13 is: 1,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.92 : 2,624.57 = 1,194.13 : x
  2. Step 2: Convert to fraction form
    1,901.92/2,624.57 = 1,194.13/x
  3. Step 3: Cross multiply
    1,901.92x = 2,624.57 × 1,194.13
  4. Step 4: Simplify right side
    1,901.92x = 3,134,079.56
  5. Step 5: Solve for x
    x = 3,134,079.56/1,901.92
  6. Step 6: Final answer
    x = 1,647.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.