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Finding the Fourth Proportional to 2,982.57, 4,115.12 and 1,864.65

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Solution

The fourth proportional to 2,982.57, 4,115.12 and 1,864.65 is: 2,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.57 : 4,115.12 = 1,864.65 : x
  2. Step 2: Convert to fraction form
    2,982.57/4,115.12 = 1,864.65/x
  3. Step 3: Cross multiply
    2,982.57x = 4,115.12 × 1,864.65
  4. Step 4: Simplify right side
    2,982.57x = 7,673,249.18
  5. Step 5: Solve for x
    x = 7,673,249.18/2,982.57
  6. Step 6: Final answer
    x = 2,572.70

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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.