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Finding the Fourth Proportional to 3,227.34, 4,841.83 and 918.84

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Solution

The fourth proportional to 3,227.34, 4,841.83 and 918.84 is: 1,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.34 : 4,841.83 = 918.84 : x
  2. Step 2: Convert to fraction form
    3,227.34/4,841.83 = 918.84/x
  3. Step 3: Cross multiply
    3,227.34x = 4,841.83 × 918.84
  4. Step 4: Simplify right side
    3,227.34x = 4,448,881.21
  5. Step 5: Solve for x
    x = 4,448,881.21/3,227.34
  6. Step 6: Final answer
    x = 1,378.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.