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Finding the Fourth Proportional to 2,646.06, 3,964.68 and 1,864.41

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Solution

The fourth proportional to 2,646.06, 3,964.68 and 1,864.41 is: 2,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.06 : 3,964.68 = 1,864.41 : x
  2. Step 2: Convert to fraction form
    2,646.06/3,964.68 = 1,864.41/x
  3. Step 3: Cross multiply
    2,646.06x = 3,964.68 × 1,864.41
  4. Step 4: Simplify right side
    2,646.06x = 7,391,789.04
  5. Step 5: Solve for x
    x = 7,391,789.04/2,646.06
  6. Step 6: Final answer
    x = 2,793.51

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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.