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Finding the Fourth Proportional to 1,284.51, 1,921.17 and 1,191.11

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Solution

The fourth proportional to 1,284.51, 1,921.17 and 1,191.11 is: 1,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.51 : 1,921.17 = 1,191.11 : x
  2. Step 2: Convert to fraction form
    1,284.51/1,921.17 = 1,191.11/x
  3. Step 3: Cross multiply
    1,284.51x = 1,921.17 × 1,191.11
  4. Step 4: Simplify right side
    1,284.51x = 2,288,329.60
  5. Step 5: Solve for x
    x = 2,288,329.60/1,284.51
  6. Step 6: Final answer
    x = 1,781.48

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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.