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Finding the Fourth Proportional to 1,933.70, 2,668.49 and 1,147.89

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Solution

The fourth proportional to 1,933.70, 2,668.49 and 1,147.89 is: 1,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.70 : 2,668.49 = 1,147.89 : x
  2. Step 2: Convert to fraction form
    1,933.70/2,668.49 = 1,147.89/x
  3. Step 3: Cross multiply
    1,933.70x = 2,668.49 × 1,147.89
  4. Step 4: Simplify right side
    1,933.70x = 3,063,127.25
  5. Step 5: Solve for x
    x = 3,063,127.25/1,933.70
  6. Step 6: Final answer
    x = 1,584.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.