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Finding the Fourth Proportional to 2,278.60, 3,144.42 and 1,347.40

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Solution

The fourth proportional to 2,278.60, 3,144.42 and 1,347.40 is: 1,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.60 : 3,144.42 = 1,347.40 : x
  2. Step 2: Convert to fraction form
    2,278.60/3,144.42 = 1,347.40/x
  3. Step 3: Cross multiply
    2,278.60x = 3,144.42 × 1,347.40
  4. Step 4: Simplify right side
    2,278.60x = 4,236,791.51
  5. Step 5: Solve for x
    x = 4,236,791.51/2,278.60
  6. Step 6: Final answer
    x = 1,859.38

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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.