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Finding the Fourth Proportional to 1,921.42, 2,883.50 and 1,305.72

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Solution

The fourth proportional to 1,921.42, 2,883.50 and 1,305.72 is: 1,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.42 : 2,883.50 = 1,305.72 : x
  2. Step 2: Convert to fraction form
    1,921.42/2,883.50 = 1,305.72/x
  3. Step 3: Cross multiply
    1,921.42x = 2,883.50 × 1,305.72
  4. Step 4: Simplify right side
    1,921.42x = 3,765,041.99
  5. Step 5: Solve for x
    x = 3,765,041.99/1,921.42
  6. Step 6: Final answer
    x = 1,959.51

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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.