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Finding the Fourth Proportional to 3,291.33, 4,933.68 and 1,316.24

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Solution

The fourth proportional to 3,291.33, 4,933.68 and 1,316.24 is: 1,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.33 : 4,933.68 = 1,316.24 : x
  2. Step 2: Convert to fraction form
    3,291.33/4,933.68 = 1,316.24/x
  3. Step 3: Cross multiply
    3,291.33x = 4,933.68 × 1,316.24
  4. Step 4: Simplify right side
    3,291.33x = 6,493,882.29
  5. Step 5: Solve for x
    x = 6,493,882.29/3,291.33
  6. Step 6: Final answer
    x = 1,973.03

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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.