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Finding the Fourth Proportional to 2,576.91, 3,864.45 and 933.03

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Solution

The fourth proportional to 2,576.91, 3,864.45 and 933.03 is: 1,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.91 : 3,864.45 = 933.03 : x
  2. Step 2: Convert to fraction form
    2,576.91/3,864.45 = 933.03/x
  3. Step 3: Cross multiply
    2,576.91x = 3,864.45 × 933.03
  4. Step 4: Simplify right side
    2,576.91x = 3,605,647.78
  5. Step 5: Solve for x
    x = 3,605,647.78/2,576.91
  6. Step 6: Final answer
    x = 1,399.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.