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Finding the Fourth Proportional to 2,396, 3,588.34 and 1,223.12

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Solution

The fourth proportional to 2,396, 3,588.34 and 1,223.12 is: 1,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396 : 3,588.34 = 1,223.12 : x
  2. Step 2: Convert to fraction form
    2,396/3,588.34 = 1,223.12/x
  3. Step 3: Cross multiply
    2,396x = 3,588.34 × 1,223.12
  4. Step 4: Simplify right side
    2,396x = 4,388,970.42
  5. Step 5: Solve for x
    x = 4,388,970.42/2,396
  6. Step 6: Final answer
    x = 1,831.79

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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.