Home / 1,977.54-2,966.31-1,207.86

Finding the Fourth Proportional to 1,977.54, 2,966.31 and 1,207.86

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Solution

The fourth proportional to 1,977.54, 2,966.31 and 1,207.86 is: 1,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.54 : 2,966.31 = 1,207.86 : x
  2. Step 2: Convert to fraction form
    1,977.54/2,966.31 = 1,207.86/x
  3. Step 3: Cross multiply
    1,977.54x = 2,966.31 × 1,207.86
  4. Step 4: Simplify right side
    1,977.54x = 3,582,887.20
  5. Step 5: Solve for x
    x = 3,582,887.20/1,977.54
  6. Step 6: Final answer
    x = 1,811.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.