Home / 2,277.68-3,410.76-1,302.08

Finding the Fourth Proportional to 2,277.68, 3,410.76 and 1,302.08

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Solution

The fourth proportional to 2,277.68, 3,410.76 and 1,302.08 is: 1,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.68 : 3,410.76 = 1,302.08 : x
  2. Step 2: Convert to fraction form
    2,277.68/3,410.76 = 1,302.08/x
  3. Step 3: Cross multiply
    2,277.68x = 3,410.76 × 1,302.08
  4. Step 4: Simplify right side
    2,277.68x = 4,441,082.38
  5. Step 5: Solve for x
    x = 4,441,082.38/2,277.68
  6. Step 6: Final answer
    x = 1,949.83

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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.