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Finding the Fourth Proportional to 2,110.88, 3,166.20 and 650.02

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Solution

The fourth proportional to 2,110.88, 3,166.20 and 650.02 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.88 : 3,166.20 = 650.02 : x
  2. Step 2: Convert to fraction form
    2,110.88/3,166.20 = 650.02/x
  3. Step 3: Cross multiply
    2,110.88x = 3,166.20 × 650.02
  4. Step 4: Simplify right side
    2,110.88x = 2,058,093.32
  5. Step 5: Solve for x
    x = 2,058,093.32/2,110.88
  6. Step 6: Final answer
    x = 974.99

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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.