Home / 2,511.27-3,764.52-1,584

Finding the Fourth Proportional to 2,511.27, 3,764.52 and 1,584

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Solution

The fourth proportional to 2,511.27, 3,764.52 and 1,584 is: 2,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.27 : 3,764.52 = 1,584 : x
  2. Step 2: Convert to fraction form
    2,511.27/3,764.52 = 1,584/x
  3. Step 3: Cross multiply
    2,511.27x = 3,764.52 × 1,584
  4. Step 4: Simplify right side
    2,511.27x = 5,962,999.68
  5. Step 5: Solve for x
    x = 5,962,999.68/2,511.27
  6. Step 6: Final answer
    x = 2,374.50

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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.