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Finding the Fourth Proportional to 1,396.52, 2,082.59 and 1,223.99

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Solution

The fourth proportional to 1,396.52, 2,082.59 and 1,223.99 is: 1,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.52 : 2,082.59 = 1,223.99 : x
  2. Step 2: Convert to fraction form
    1,396.52/2,082.59 = 1,223.99/x
  3. Step 3: Cross multiply
    1,396.52x = 2,082.59 × 1,223.99
  4. Step 4: Simplify right side
    1,396.52x = 2,549,069.33
  5. Step 5: Solve for x
    x = 2,549,069.33/1,396.52
  6. Step 6: Final answer
    x = 1,825.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.