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Finding the Fourth Proportional to 2,862.59, 4,291.52 and 1,768.14

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Solution

The fourth proportional to 2,862.59, 4,291.52 and 1,768.14 is: 2,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.59 : 4,291.52 = 1,768.14 : x
  2. Step 2: Convert to fraction form
    2,862.59/4,291.52 = 1,768.14/x
  3. Step 3: Cross multiply
    2,862.59x = 4,291.52 × 1,768.14
  4. Step 4: Simplify right side
    2,862.59x = 7,587,999.33
  5. Step 5: Solve for x
    x = 7,587,999.33/2,862.59
  6. Step 6: Final answer
    x = 2,650.75

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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.