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Finding the Fourth Proportional to 2,082.81, 3,124.21 and 849.93

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Solution

The fourth proportional to 2,082.81, 3,124.21 and 849.93 is: 1,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.81 : 3,124.21 = 849.93 : x
  2. Step 2: Convert to fraction form
    2,082.81/3,124.21 = 849.93/x
  3. Step 3: Cross multiply
    2,082.81x = 3,124.21 × 849.93
  4. Step 4: Simplify right side
    2,082.81x = 2,655,359.81
  5. Step 5: Solve for x
    x = 2,655,359.81/2,082.81
  6. Step 6: Final answer
    x = 1,274.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.