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Finding the Fourth Proportional to 2,577.81, 3,867.23 and 934.42

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Solution

The fourth proportional to 2,577.81, 3,867.23 and 934.42 is: 1,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.81 : 3,867.23 = 934.42 : x
  2. Step 2: Convert to fraction form
    2,577.81/3,867.23 = 934.42/x
  3. Step 3: Cross multiply
    2,577.81x = 3,867.23 × 934.42
  4. Step 4: Simplify right side
    2,577.81x = 3,613,617.06
  5. Step 5: Solve for x
    x = 3,613,617.06/2,577.81
  6. Step 6: Final answer
    x = 1,401.82

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