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Finding the Fourth Proportional to 2,580.43, 3,864.55 and 1,640.01

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Solution

The fourth proportional to 2,580.43, 3,864.55 and 1,640.01 is: 2,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.43 : 3,864.55 = 1,640.01 : x
  2. Step 2: Convert to fraction form
    2,580.43/3,864.55 = 1,640.01/x
  3. Step 3: Cross multiply
    2,580.43x = 3,864.55 × 1,640.01
  4. Step 4: Simplify right side
    2,580.43x = 6,337,900.65
  5. Step 5: Solve for x
    x = 6,337,900.65/2,580.43
  6. Step 6: Final answer
    x = 2,456.14

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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.