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Finding the Fourth Proportional to 2,576.89, 3,864.42 and 1,590.23

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Solution

The fourth proportional to 2,576.89, 3,864.42 and 1,590.23 is: 2,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.89 : 3,864.42 = 1,590.23 : x
  2. Step 2: Convert to fraction form
    2,576.89/3,864.42 = 1,590.23/x
  3. Step 3: Cross multiply
    2,576.89x = 3,864.42 × 1,590.23
  4. Step 4: Simplify right side
    2,576.89x = 6,145,316.62
  5. Step 5: Solve for x
    x = 6,145,316.62/2,576.89
  6. Step 6: Final answer
    x = 2,384.78

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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.