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Finding the Fourth Proportional to 1,911.38, 2,867.49 and 612.95

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Solution

The fourth proportional to 1,911.38, 2,867.49 and 612.95 is: 919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.38 : 2,867.49 = 612.95 : x
  2. Step 2: Convert to fraction form
    1,911.38/2,867.49 = 612.95/x
  3. Step 3: Cross multiply
    1,911.38x = 2,867.49 × 612.95
  4. Step 4: Simplify right side
    1,911.38x = 1,757,613.66
  5. Step 5: Solve for x
    x = 1,757,613.66/1,911.38
  6. Step 6: Final answer
    x = 919.55

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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.