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Finding the Fourth Proportional to 4,278.52, 6,418 and 1,200.76

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Solution

The fourth proportional to 4,278.52, 6,418 and 1,200.76 is: 1,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.52 : 6,418 = 1,200.76 : x
  2. Step 2: Convert to fraction form
    4,278.52/6,418 = 1,200.76/x
  3. Step 3: Cross multiply
    4,278.52x = 6,418 × 1,200.76
  4. Step 4: Simplify right side
    4,278.52x = 7,706,477.68
  5. Step 5: Solve for x
    x = 7,706,477.68/4,278.52
  6. Step 6: Final answer
    x = 1,801.20

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