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Finding the Fourth Proportional to 1,921.77, 2,883.56 and 1,143.32

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Solution

The fourth proportional to 1,921.77, 2,883.56 and 1,143.32 is: 1,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.77 : 2,883.56 = 1,143.32 : x
  2. Step 2: Convert to fraction form
    1,921.77/2,883.56 = 1,143.32/x
  3. Step 3: Cross multiply
    1,921.77x = 2,883.56 × 1,143.32
  4. Step 4: Simplify right side
    1,921.77x = 3,296,811.68
  5. Step 5: Solve for x
    x = 3,296,811.68/1,921.77
  6. Step 6: Final answer
    x = 1,715.51

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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.