Home / 1,584.24-2,376.50-610.72

Finding the Fourth Proportional to 1,584.24, 2,376.50 and 610.72

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Solution

The fourth proportional to 1,584.24, 2,376.50 and 610.72 is: 916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.24 : 2,376.50 = 610.72 : x
  2. Step 2: Convert to fraction form
    1,584.24/2,376.50 = 610.72/x
  3. Step 3: Cross multiply
    1,584.24x = 2,376.50 × 610.72
  4. Step 4: Simplify right side
    1,584.24x = 1,451,376.08
  5. Step 5: Solve for x
    x = 1,451,376.08/1,584.24
  6. Step 6: Final answer
    x = 916.13

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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.