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Finding the Fourth Proportional to 2,577.79, 3,866.68 and 934.33

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Solution

The fourth proportional to 2,577.79, 3,866.68 and 934.33 is: 1,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.79 : 3,866.68 = 934.33 : x
  2. Step 2: Convert to fraction form
    2,577.79/3,866.68 = 934.33/x
  3. Step 3: Cross multiply
    2,577.79x = 3,866.68 × 934.33
  4. Step 4: Simplify right side
    2,577.79x = 3,612,757.62
  5. Step 5: Solve for x
    x = 3,612,757.62/2,577.79
  6. Step 6: Final answer
    x = 1,401.50

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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.