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Finding the Fourth Proportional to 2,166.45, 3,250.07 and 868.02

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Solution

The fourth proportional to 2,166.45, 3,250.07 and 868.02 is: 1,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.45 : 3,250.07 = 868.02 : x
  2. Step 2: Convert to fraction form
    2,166.45/3,250.07 = 868.02/x
  3. Step 3: Cross multiply
    2,166.45x = 3,250.07 × 868.02
  4. Step 4: Simplify right side
    2,166.45x = 2,821,117.37
  5. Step 5: Solve for x
    x = 2,821,117.37/2,166.45
  6. Step 6: Final answer
    x = 1,302.19

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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.