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Finding the Fourth Proportional to 2,476.77, 3,715.74 and 721.83

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Solution

The fourth proportional to 2,476.77, 3,715.74 and 721.83 is: 1,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.77 : 3,715.74 = 721.83 : x
  2. Step 2: Convert to fraction form
    2,476.77/3,715.74 = 721.83/x
  3. Step 3: Cross multiply
    2,476.77x = 3,715.74 × 721.83
  4. Step 4: Simplify right side
    2,476.77x = 2,682,132.60
  5. Step 5: Solve for x
    x = 2,682,132.60/2,476.77
  6. Step 6: Final answer
    x = 1,082.92

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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.