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Finding the Fourth Proportional to 2,922.78, 4,385.79 and 1,191

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Solution

The fourth proportional to 2,922.78, 4,385.79 and 1,191 is: 1,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.78 : 4,385.79 = 1,191 : x
  2. Step 2: Convert to fraction form
    2,922.78/4,385.79 = 1,191/x
  3. Step 3: Cross multiply
    2,922.78x = 4,385.79 × 1,191
  4. Step 4: Simplify right side
    2,922.78x = 5,223,475.89
  5. Step 5: Solve for x
    x = 5,223,475.89/2,922.78
  6. Step 6: Final answer
    x = 1,787.16

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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.