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Finding the Fourth Proportional to 2,234.26, 3,347.34 and 933.40

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Solution

The fourth proportional to 2,234.26, 3,347.34 and 933.40 is: 1,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.26 : 3,347.34 = 933.40 : x
  2. Step 2: Convert to fraction form
    2,234.26/3,347.34 = 933.40/x
  3. Step 3: Cross multiply
    2,234.26x = 3,347.34 × 933.40
  4. Step 4: Simplify right side
    2,234.26x = 3,124,407.16
  5. Step 5: Solve for x
    x = 3,124,407.16/2,234.26
  6. Step 6: Final answer
    x = 1,398.41

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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.