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Finding the Fourth Proportional to 1,351.96, 2,028.78 and 865.48

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Solution

The fourth proportional to 1,351.96, 2,028.78 and 865.48 is: 1,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.96 : 2,028.78 = 865.48 : x
  2. Step 2: Convert to fraction form
    1,351.96/2,028.78 = 865.48/x
  3. Step 3: Cross multiply
    1,351.96x = 2,028.78 × 865.48
  4. Step 4: Simplify right side
    1,351.96x = 1,755,868.51
  5. Step 5: Solve for x
    x = 1,755,868.51/1,351.96
  6. Step 6: Final answer
    x = 1,298.76

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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.