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Finding the Fourth Proportional to 2,577.88, 3,866.82 and 934.43

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Solution

The fourth proportional to 2,577.88, 3,866.82 and 934.43 is: 1,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.88 : 3,866.82 = 934.43 : x
  2. Step 2: Convert to fraction form
    2,577.88/3,866.82 = 934.43/x
  3. Step 3: Cross multiply
    2,577.88x = 3,866.82 × 934.43
  4. Step 4: Simplify right side
    2,577.88x = 3,613,251.53
  5. Step 5: Solve for x
    x = 3,613,251.53/2,577.88
  6. Step 6: Final answer
    x = 1,401.64

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1.5x scale

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.