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Finding the Fourth Proportional to 3,082.53, 4,254 and 1,756.44

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Solution

The fourth proportional to 3,082.53, 4,254 and 1,756.44 is: 2,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.53 : 4,254 = 1,756.44 : x
  2. Step 2: Convert to fraction form
    3,082.53/4,254 = 1,756.44/x
  3. Step 3: Cross multiply
    3,082.53x = 4,254 × 1,756.44
  4. Step 4: Simplify right side
    3,082.53x = 7,471,895.76
  5. Step 5: Solve for x
    x = 7,471,895.76/3,082.53
  6. Step 6: Final answer
    x = 2,423.95

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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.