Home / 1,624.27-2,432.88-997.66

Finding the Fourth Proportional to 1,624.27, 2,432.88 and 997.66

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Solution

The fourth proportional to 1,624.27, 2,432.88 and 997.66 is: 1,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.27 : 2,432.88 = 997.66 : x
  2. Step 2: Convert to fraction form
    1,624.27/2,432.88 = 997.66/x
  3. Step 3: Cross multiply
    1,624.27x = 2,432.88 × 997.66
  4. Step 4: Simplify right side
    1,624.27x = 2,427,182.07
  5. Step 5: Solve for x
    x = 2,427,182.07/1,624.27
  6. Step 6: Final answer
    x = 1,494.33

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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.