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Finding the Fourth Proportional to 2,100.06, 3,146.85 and 866.43

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Solution

The fourth proportional to 2,100.06, 3,146.85 and 866.43 is: 1,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.06 : 3,146.85 = 866.43 : x
  2. Step 2: Convert to fraction form
    2,100.06/3,146.85 = 866.43/x
  3. Step 3: Cross multiply
    2,100.06x = 3,146.85 × 866.43
  4. Step 4: Simplify right side
    2,100.06x = 2,726,525.25
  5. Step 5: Solve for x
    x = 2,726,525.25/2,100.06
  6. Step 6: Final answer
    x = 1,298.31

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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.