Home / 2,114.16-3,169.17-882.42

Finding the Fourth Proportional to 2,114.16, 3,169.17 and 882.42

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Solution

The fourth proportional to 2,114.16, 3,169.17 and 882.42 is: 1,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.16 : 3,169.17 = 882.42 : x
  2. Step 2: Convert to fraction form
    2,114.16/3,169.17 = 882.42/x
  3. Step 3: Cross multiply
    2,114.16x = 3,169.17 × 882.42
  4. Step 4: Simplify right side
    2,114.16x = 2,796,538.99
  5. Step 5: Solve for x
    x = 2,796,538.99/2,114.16
  6. Step 6: Final answer
    x = 1,322.77

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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.