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Finding the Fourth Proportional to 2,082.99, 3,124.53 and 784.47

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Solution

The fourth proportional to 2,082.99, 3,124.53 and 784.47 is: 1,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.99 : 3,124.53 = 784.47 : x
  2. Step 2: Convert to fraction form
    2,082.99/3,124.53 = 784.47/x
  3. Step 3: Cross multiply
    2,082.99x = 3,124.53 × 784.47
  4. Step 4: Simplify right side
    2,082.99x = 2,451,100.05
  5. Step 5: Solve for x
    x = 2,451,100.05/2,082.99
  6. Step 6: Final answer
    x = 1,176.72

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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.