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Finding the Fourth Proportional to 2,751.78, 4,125.71 and 1,290.14

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Solution

The fourth proportional to 2,751.78, 4,125.71 and 1,290.14 is: 1,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.78 : 4,125.71 = 1,290.14 : x
  2. Step 2: Convert to fraction form
    2,751.78/4,125.71 = 1,290.14/x
  3. Step 3: Cross multiply
    2,751.78x = 4,125.71 × 1,290.14
  4. Step 4: Simplify right side
    2,751.78x = 5,322,743.50
  5. Step 5: Solve for x
    x = 5,322,743.50/2,751.78
  6. Step 6: Final answer
    x = 1,934.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.