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Finding the Fourth Proportional to 1,933.90, 2,668.76 and 1,147.98

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Solution

The fourth proportional to 1,933.90, 2,668.76 and 1,147.98 is: 1,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.90 : 2,668.76 = 1,147.98 : x
  2. Step 2: Convert to fraction form
    1,933.90/2,668.76 = 1,147.98/x
  3. Step 3: Cross multiply
    1,933.90x = 2,668.76 × 1,147.98
  4. Step 4: Simplify right side
    1,933.90x = 3,063,683.10
  5. Step 5: Solve for x
    x = 3,063,683.10/1,933.90
  6. Step 6: Final answer
    x = 1,584.20

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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.