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Finding the Fourth Proportional to 2,933.84, 4,398.26 and 1,289.13

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Solution

The fourth proportional to 2,933.84, 4,398.26 and 1,289.13 is: 1,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.84 : 4,398.26 = 1,289.13 : x
  2. Step 2: Convert to fraction form
    2,933.84/4,398.26 = 1,289.13/x
  3. Step 3: Cross multiply
    2,933.84x = 4,398.26 × 1,289.13
  4. Step 4: Simplify right side
    2,933.84x = 5,669,922.47
  5. Step 5: Solve for x
    x = 5,669,922.47/2,933.84
  6. Step 6: Final answer
    x = 1,932.60

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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.