Home / 1,584.85-2,377.68-610.69

Finding the Fourth Proportional to 1,584.85, 2,377.68 and 610.69

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Solution

The fourth proportional to 1,584.85, 2,377.68 and 610.69 is: 916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.85 : 2,377.68 = 610.69 : x
  2. Step 2: Convert to fraction form
    1,584.85/2,377.68 = 610.69/x
  3. Step 3: Cross multiply
    1,584.85x = 2,377.68 × 610.69
  4. Step 4: Simplify right side
    1,584.85x = 1,452,025.40
  5. Step 5: Solve for x
    x = 1,452,025.40/1,584.85
  6. Step 6: Final answer
    x = 916.19

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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.