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Finding the Fourth Proportional to 1,911.86, 2,867.72 and 1,121.66

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Solution

The fourth proportional to 1,911.86, 2,867.72 and 1,121.66 is: 1,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.86 : 2,867.72 = 1,121.66 : x
  2. Step 2: Convert to fraction form
    1,911.86/2,867.72 = 1,121.66/x
  3. Step 3: Cross multiply
    1,911.86x = 2,867.72 × 1,121.66
  4. Step 4: Simplify right side
    1,911.86x = 3,216,606.82
  5. Step 5: Solve for x
    x = 3,216,606.82/1,911.86
  6. Step 6: Final answer
    x = 1,682.45

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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.