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Finding the Fourth Proportional to 2,921.76, 4,380 and 1,278.54

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Solution

The fourth proportional to 2,921.76, 4,380 and 1,278.54 is: 1,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.76 : 4,380 = 1,278.54 : x
  2. Step 2: Convert to fraction form
    2,921.76/4,380 = 1,278.54/x
  3. Step 3: Cross multiply
    2,921.76x = 4,380 × 1,278.54
  4. Step 4: Simplify right side
    2,921.76x = 5,600,005.20
  5. Step 5: Solve for x
    x = 5,600,005.20/2,921.76
  6. Step 6: Final answer
    x = 1,916.65

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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.