Home / 2,102.72-3,153.52-1,278.14

Finding the Fourth Proportional to 2,102.72, 3,153.52 and 1,278.14

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Solution

The fourth proportional to 2,102.72, 3,153.52 and 1,278.14 is: 1,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.72 : 3,153.52 = 1,278.14 : x
  2. Step 2: Convert to fraction form
    2,102.72/3,153.52 = 1,278.14/x
  3. Step 3: Cross multiply
    2,102.72x = 3,153.52 × 1,278.14
  4. Step 4: Simplify right side
    2,102.72x = 4,030,640.05
  5. Step 5: Solve for x
    x = 4,030,640.05/2,102.72
  6. Step 6: Final answer
    x = 1,916.87

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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.