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Finding the Fourth Proportional to 3,082.88, 4,253.95 and 1,756.33

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Solution

The fourth proportional to 3,082.88, 4,253.95 and 1,756.33 is: 2,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.88 : 4,253.95 = 1,756.33 : x
  2. Step 2: Convert to fraction form
    3,082.88/4,253.95 = 1,756.33/x
  3. Step 3: Cross multiply
    3,082.88x = 4,253.95 × 1,756.33
  4. Step 4: Simplify right side
    3,082.88x = 7,471,318.73
  5. Step 5: Solve for x
    x = 7,471,318.73/3,082.88
  6. Step 6: Final answer
    x = 2,423.49

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