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Finding the Fourth Proportional to 2,778.76, 4,166.52 and 1,317.52

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Solution

The fourth proportional to 2,778.76, 4,166.52 and 1,317.52 is: 1,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.76 : 4,166.52 = 1,317.52 : x
  2. Step 2: Convert to fraction form
    2,778.76/4,166.52 = 1,317.52/x
  3. Step 3: Cross multiply
    2,778.76x = 4,166.52 × 1,317.52
  4. Step 4: Simplify right side
    2,778.76x = 5,489,473.43
  5. Step 5: Solve for x
    x = 5,489,473.43/2,778.76
  6. Step 6: Final answer
    x = 1,975.51

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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.