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Finding the Fourth Proportional to 2,557.38, 3,836.67 and 826

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Solution

The fourth proportional to 2,557.38, 3,836.67 and 826 is: 1,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.38 : 3,836.67 = 826 : x
  2. Step 2: Convert to fraction form
    2,557.38/3,836.67 = 826/x
  3. Step 3: Cross multiply
    2,557.38x = 3,836.67 × 826
  4. Step 4: Simplify right side
    2,557.38x = 3,169,089.42
  5. Step 5: Solve for x
    x = 3,169,089.42/2,557.38
  6. Step 6: Final answer
    x = 1,239.19

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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.