Home / 2,452.86-3,664.14-1,966.86

Finding the Fourth Proportional to 2,452.86, 3,664.14 and 1,966.86

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Solution

The fourth proportional to 2,452.86, 3,664.14 and 1,966.86 is: 2,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.86 : 3,664.14 = 1,966.86 : x
  2. Step 2: Convert to fraction form
    2,452.86/3,664.14 = 1,966.86/x
  3. Step 3: Cross multiply
    2,452.86x = 3,664.14 × 1,966.86
  4. Step 4: Simplify right side
    2,452.86x = 7,206,850.40
  5. Step 5: Solve for x
    x = 7,206,850.40/2,452.86
  6. Step 6: Final answer
    x = 2,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.