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Finding the Fourth Proportional to 2,223.18, 3,335.24 and 742.34

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Solution

The fourth proportional to 2,223.18, 3,335.24 and 742.34 is: 1,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.18 : 3,335.24 = 742.34 : x
  2. Step 2: Convert to fraction form
    2,223.18/3,335.24 = 742.34/x
  3. Step 3: Cross multiply
    2,223.18x = 3,335.24 × 742.34
  4. Step 4: Simplify right side
    2,223.18x = 2,475,861.67
  5. Step 5: Solve for x
    x = 2,475,861.67/2,223.18
  6. Step 6: Final answer
    x = 1,113.66

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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.