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Finding the Fourth Proportional to 4,200.78, 6,301.29 and 1,278.78

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Solution

The fourth proportional to 4,200.78, 6,301.29 and 1,278.78 is: 1,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.78 : 6,301.29 = 1,278.78 : x
  2. Step 2: Convert to fraction form
    4,200.78/6,301.29 = 1,278.78/x
  3. Step 3: Cross multiply
    4,200.78x = 6,301.29 × 1,278.78
  4. Step 4: Simplify right side
    4,200.78x = 8,057,963.63
  5. Step 5: Solve for x
    x = 8,057,963.63/4,200.78
  6. Step 6: Final answer
    x = 1,918.21

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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.