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Finding the Fourth Proportional to 1,963.35, 2,944.22 and 1,038.33

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Solution

The fourth proportional to 1,963.35, 2,944.22 and 1,038.33 is: 1,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.35 : 2,944.22 = 1,038.33 : x
  2. Step 2: Convert to fraction form
    1,963.35/2,944.22 = 1,038.33/x
  3. Step 3: Cross multiply
    1,963.35x = 2,944.22 × 1,038.33
  4. Step 4: Simplify right side
    1,963.35x = 3,057,066.76
  5. Step 5: Solve for x
    x = 3,057,066.76/1,963.35
  6. Step 6: Final answer
    x = 1,557.07

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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.