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Finding the Fourth Proportional to 2,377.78, 3,567.08 and 817.94

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Solution

The fourth proportional to 2,377.78, 3,567.08 and 817.94 is: 1,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.78 : 3,567.08 = 817.94 : x
  2. Step 2: Convert to fraction form
    2,377.78/3,567.08 = 817.94/x
  3. Step 3: Cross multiply
    2,377.78x = 3,567.08 × 817.94
  4. Step 4: Simplify right side
    2,377.78x = 2,917,657.42
  5. Step 5: Solve for x
    x = 2,917,657.42/2,377.78
  6. Step 6: Final answer
    x = 1,227.05

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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.