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Finding the Fourth Proportional to 3,082.46, 4,253.79 and 1,756.17

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Solution

The fourth proportional to 3,082.46, 4,253.79 and 1,756.17 is: 2,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.46 : 4,253.79 = 1,756.17 : x
  2. Step 2: Convert to fraction form
    3,082.46/4,253.79 = 1,756.17/x
  3. Step 3: Cross multiply
    3,082.46x = 4,253.79 × 1,756.17
  4. Step 4: Simplify right side
    3,082.46x = 7,470,378.38
  5. Step 5: Solve for x
    x = 7,470,378.38/3,082.46
  6. Step 6: Final answer
    x = 2,423.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.