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Finding the Fourth Proportional to 2,340.72, 3,230.14 and 1,292.78

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Solution

The fourth proportional to 2,340.72, 3,230.14 and 1,292.78 is: 1,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.72 : 3,230.14 = 1,292.78 : x
  2. Step 2: Convert to fraction form
    2,340.72/3,230.14 = 1,292.78/x
  3. Step 3: Cross multiply
    2,340.72x = 3,230.14 × 1,292.78
  4. Step 4: Simplify right side
    2,340.72x = 4,175,860.39
  5. Step 5: Solve for x
    x = 4,175,860.39/2,340.72
  6. Step 6: Final answer
    x = 1,784.01

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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.