Home / 2,111.76-3,167.64-1,462.95

Finding the Fourth Proportional to 2,111.76, 3,167.64 and 1,462.95

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Solution

The fourth proportional to 2,111.76, 3,167.64 and 1,462.95 is: 2,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 3,167.64 = 1,462.95 : x
  2. Step 2: Convert to fraction form
    2,111.76/3,167.64 = 1,462.95/x
  3. Step 3: Cross multiply
    2,111.76x = 3,167.64 × 1,462.95
  4. Step 4: Simplify right side
    2,111.76x = 4,634,098.94
  5. Step 5: Solve for x
    x = 4,634,098.94/2,111.76
  6. Step 6: Final answer
    x = 2,194.43

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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.