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Finding the Fourth Proportional to 2,233.36, 3,347.34 and 933.31

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Solution

The fourth proportional to 2,233.36, 3,347.34 and 933.31 is: 1,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.36 : 3,347.34 = 933.31 : x
  2. Step 2: Convert to fraction form
    2,233.36/3,347.34 = 933.31/x
  3. Step 3: Cross multiply
    2,233.36x = 3,347.34 × 933.31
  4. Step 4: Simplify right side
    2,233.36x = 3,124,105.90
  5. Step 5: Solve for x
    x = 3,124,105.90/2,233.36
  6. Step 6: Final answer
    x = 1,398.84

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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.