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Finding the Fourth Proportional to 1,468.33, 2,025.34 and 936.83

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Solution

The fourth proportional to 1,468.33, 2,025.34 and 936.83 is: 1,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.33 : 2,025.34 = 936.83 : x
  2. Step 2: Convert to fraction form
    1,468.33/2,025.34 = 936.83/x
  3. Step 3: Cross multiply
    1,468.33x = 2,025.34 × 936.83
  4. Step 4: Simplify right side
    1,468.33x = 1,897,401.99
  5. Step 5: Solve for x
    x = 1,897,401.99/1,468.33
  6. Step 6: Final answer
    x = 1,292.22

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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.