Home / 2,182.64-3,274.68-1,442.66

Finding the Fourth Proportional to 2,182.64, 3,274.68 and 1,442.66

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Solution

The fourth proportional to 2,182.64, 3,274.68 and 1,442.66 is: 2,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.64 : 3,274.68 = 1,442.66 : x
  2. Step 2: Convert to fraction form
    2,182.64/3,274.68 = 1,442.66/x
  3. Step 3: Cross multiply
    2,182.64x = 3,274.68 × 1,442.66
  4. Step 4: Simplify right side
    2,182.64x = 4,724,249.85
  5. Step 5: Solve for x
    x = 4,724,249.85/2,182.64
  6. Step 6: Final answer
    x = 2,164.47

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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.