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Finding the Fourth Proportional to 2,864.41, 3,950.32 and 1,967.74

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Solution

The fourth proportional to 2,864.41, 3,950.32 and 1,967.74 is: 2,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.41 : 3,950.32 = 1,967.74 : x
  2. Step 2: Convert to fraction form
    2,864.41/3,950.32 = 1,967.74/x
  3. Step 3: Cross multiply
    2,864.41x = 3,950.32 × 1,967.74
  4. Step 4: Simplify right side
    2,864.41x = 7,773,202.68
  5. Step 5: Solve for x
    x = 7,773,202.68/2,864.41
  6. Step 6: Final answer
    x = 2,713.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.