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Finding the Fourth Proportional to 2,922.54, 4,385.16 and 1,278.87

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Solution

The fourth proportional to 2,922.54, 4,385.16 and 1,278.87 is: 1,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.54 : 4,385.16 = 1,278.87 : x
  2. Step 2: Convert to fraction form
    2,922.54/4,385.16 = 1,278.87/x
  3. Step 3: Cross multiply
    2,922.54x = 4,385.16 × 1,278.87
  4. Step 4: Simplify right side
    2,922.54x = 5,608,021.25
  5. Step 5: Solve for x
    x = 5,608,021.25/2,922.54
  6. Step 6: Final answer
    x = 1,918.89

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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.