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Finding the Fourth Proportional to 1,934.25, 2,668.80 and 1,147.86

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Solution

The fourth proportional to 1,934.25, 2,668.80 and 1,147.86 is: 1,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.25 : 2,668.80 = 1,147.86 : x
  2. Step 2: Convert to fraction form
    1,934.25/2,668.80 = 1,147.86/x
  3. Step 3: Cross multiply
    1,934.25x = 2,668.80 × 1,147.86
  4. Step 4: Simplify right side
    1,934.25x = 3,063,408.77
  5. Step 5: Solve for x
    x = 3,063,408.77/1,934.25
  6. Step 6: Final answer
    x = 1,583.77

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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.