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Finding the Fourth Proportional to 2,101.21, 3,152.43 and 868.69

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Solution

The fourth proportional to 2,101.21, 3,152.43 and 868.69 is: 1,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.21 : 3,152.43 = 868.69 : x
  2. Step 2: Convert to fraction form
    2,101.21/3,152.43 = 868.69/x
  3. Step 3: Cross multiply
    2,101.21x = 3,152.43 × 868.69
  4. Step 4: Simplify right side
    2,101.21x = 2,738,476.54
  5. Step 5: Solve for x
    x = 2,738,476.54/2,101.21
  6. Step 6: Final answer
    x = 1,303.29

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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.