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Finding the Fourth Proportional to 2,770.68, 4,146.26 and 1,731.17

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Solution

The fourth proportional to 2,770.68, 4,146.26 and 1,731.17 is: 2,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.68 : 4,146.26 = 1,731.17 : x
  2. Step 2: Convert to fraction form
    2,770.68/4,146.26 = 1,731.17/x
  3. Step 3: Cross multiply
    2,770.68x = 4,146.26 × 1,731.17
  4. Step 4: Simplify right side
    2,770.68x = 7,177,880.92
  5. Step 5: Solve for x
    x = 7,177,880.92/2,770.68
  6. Step 6: Final answer
    x = 2,590.66

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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.