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Finding the Fourth Proportional to 2,770.72, 4,146.28 and 1,731.20

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Solution

The fourth proportional to 2,770.72, 4,146.28 and 1,731.20 is: 2,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.72 : 4,146.28 = 1,731.20 : x
  2. Step 2: Convert to fraction form
    2,770.72/4,146.28 = 1,731.20/x
  3. Step 3: Cross multiply
    2,770.72x = 4,146.28 × 1,731.20
  4. Step 4: Simplify right side
    2,770.72x = 7,178,039.94
  5. Step 5: Solve for x
    x = 7,178,039.94/2,770.72
  6. Step 6: Final answer
    x = 2,590.68

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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.