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Finding the Fourth Proportional to 3,302.43, 4,953.11 and 1,223.43

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Solution

The fourth proportional to 3,302.43, 4,953.11 and 1,223.43 is: 1,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.43 : 4,953.11 = 1,223.43 : x
  2. Step 2: Convert to fraction form
    3,302.43/4,953.11 = 1,223.43/x
  3. Step 3: Cross multiply
    3,302.43x = 4,953.11 × 1,223.43
  4. Step 4: Simplify right side
    3,302.43x = 6,059,777.25
  5. Step 5: Solve for x
    x = 6,059,777.25/3,302.43
  6. Step 6: Final answer
    x = 1,834.94

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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.