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Finding the Fourth Proportional to 3,314.46, 4,971.89 and 1,366

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Solution

The fourth proportional to 3,314.46, 4,971.89 and 1,366 is: 2,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.46 : 4,971.89 = 1,366 : x
  2. Step 2: Convert to fraction form
    3,314.46/4,971.89 = 1,366/x
  3. Step 3: Cross multiply
    3,314.46x = 4,971.89 × 1,366
  4. Step 4: Simplify right side
    3,314.46x = 6,791,601.74
  5. Step 5: Solve for x
    x = 6,791,601.74/3,314.46
  6. Step 6: Final answer
    x = 2,049.08

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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.