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Finding the Fourth Proportional to 2,922.76, 4,385.76 and 1,191.25

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Solution

The fourth proportional to 2,922.76, 4,385.76 and 1,191.25 is: 1,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.76 : 4,385.76 = 1,191.25 : x
  2. Step 2: Convert to fraction form
    2,922.76/4,385.76 = 1,191.25/x
  3. Step 3: Cross multiply
    2,922.76x = 4,385.76 × 1,191.25
  4. Step 4: Simplify right side
    2,922.76x = 5,224,536.60
  5. Step 5: Solve for x
    x = 5,224,536.60/2,922.76
  6. Step 6: Final answer
    x = 1,787.54

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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.