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Finding the Fourth Proportional to 2,965.92, 4,439.54 and 2,036.04

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Solution

The fourth proportional to 2,965.92, 4,439.54 and 2,036.04 is: 3,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.92 : 4,439.54 = 2,036.04 : x
  2. Step 2: Convert to fraction form
    2,965.92/4,439.54 = 2,036.04/x
  3. Step 3: Cross multiply
    2,965.92x = 4,439.54 × 2,036.04
  4. Step 4: Simplify right side
    2,965.92x = 9,039,081.02
  5. Step 5: Solve for x
    x = 9,039,081.02/2,965.92
  6. Step 6: Final answer
    x = 3,047.65

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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.