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Finding the Fourth Proportional to 2,304.02, 3,179.55 and 1,256.08

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Solution

The fourth proportional to 2,304.02, 3,179.55 and 1,256.08 is: 1,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.02 : 3,179.55 = 1,256.08 : x
  2. Step 2: Convert to fraction form
    2,304.02/3,179.55 = 1,256.08/x
  3. Step 3: Cross multiply
    2,304.02x = 3,179.55 × 1,256.08
  4. Step 4: Simplify right side
    2,304.02x = 3,993,769.16
  5. Step 5: Solve for x
    x = 3,993,769.16/2,304.02
  6. Step 6: Final answer
    x = 1,733.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.