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Finding the Fourth Proportional to 2,304.50, 3,180.20 and 1,256.56

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Solution

The fourth proportional to 2,304.50, 3,180.20 and 1,256.56 is: 1,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.50 : 3,180.20 = 1,256.56 : x
  2. Step 2: Convert to fraction form
    2,304.50/3,180.20 = 1,256.56/x
  3. Step 3: Cross multiply
    2,304.50x = 3,180.20 × 1,256.56
  4. Step 4: Simplify right side
    2,304.50x = 3,996,097.88
  5. Step 5: Solve for x
    x = 3,996,097.88/2,304.50
  6. Step 6: Final answer
    x = 1,734.04

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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.