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Finding the Fourth Proportional to 2,304.36, 3,180.04 and 1,256.44

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Solution

The fourth proportional to 2,304.36, 3,180.04 and 1,256.44 is: 1,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.36 : 3,180.04 = 1,256.44 : x
  2. Step 2: Convert to fraction form
    2,304.36/3,180.04 = 1,256.44/x
  3. Step 3: Cross multiply
    2,304.36x = 3,180.04 × 1,256.44
  4. Step 4: Simplify right side
    2,304.36x = 3,995,529.46
  5. Step 5: Solve for x
    x = 3,995,529.46/2,304.36
  6. Step 6: Final answer
    x = 1,733.90

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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.