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Finding the Fourth Proportional to 2,304.63, 3,180.38 and 1,256.69

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Solution

The fourth proportional to 2,304.63, 3,180.38 and 1,256.69 is: 1,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.63 : 3,180.38 = 1,256.69 : x
  2. Step 2: Convert to fraction form
    2,304.63/3,180.38 = 1,256.69/x
  3. Step 3: Cross multiply
    2,304.63x = 3,180.38 × 1,256.69
  4. Step 4: Simplify right side
    2,304.63x = 3,996,751.74
  5. Step 5: Solve for x
    x = 3,996,751.74/2,304.63
  6. Step 6: Final answer
    x = 1,734.23

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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.