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Finding the Fourth Proportional to 3,082.46, 4,253.65 and 1,823.45

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Solution

The fourth proportional to 3,082.46, 4,253.65 and 1,823.45 is: 2,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.46 : 4,253.65 = 1,823.45 : x
  2. Step 2: Convert to fraction form
    3,082.46/4,253.65 = 1,823.45/x
  3. Step 3: Cross multiply
    3,082.46x = 4,253.65 × 1,823.45
  4. Step 4: Simplify right side
    3,082.46x = 7,756,292.27
  5. Step 5: Solve for x
    x = 7,756,292.27/3,082.46
  6. Step 6: Final answer
    x = 2,516.27

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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.