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Finding the Fourth Proportional to 3,223.04, 4,834 and 914

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Solution

The fourth proportional to 3,223.04, 4,834 and 914 is: 1,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.04 : 4,834 = 914 : x
  2. Step 2: Convert to fraction form
    3,223.04/4,834 = 914/x
  3. Step 3: Cross multiply
    3,223.04x = 4,834 × 914
  4. Step 4: Simplify right side
    3,223.04x = 4,418,276
  5. Step 5: Solve for x
    x = 4,418,276/3,223.04
  6. Step 6: Final answer
    x = 1,370.84

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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.