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Finding the Fourth Proportional to 2,304.66, 3,180.44 and 1,256.72

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Solution

The fourth proportional to 2,304.66, 3,180.44 and 1,256.72 is: 1,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.66 : 3,180.44 = 1,256.72 : x
  2. Step 2: Convert to fraction form
    2,304.66/3,180.44 = 1,256.72/x
  3. Step 3: Cross multiply
    2,304.66x = 3,180.44 × 1,256.72
  4. Step 4: Simplify right side
    2,304.66x = 3,996,922.56
  5. Step 5: Solve for x
    x = 3,996,922.56/2,304.66
  6. Step 6: Final answer
    x = 1,734.28

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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.