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Finding the Fourth Proportional to 1,610.30, 2,222.40 and 902.18

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Solution

The fourth proportional to 1,610.30, 2,222.40 and 902.18 is: 1,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.30 : 2,222.40 = 902.18 : x
  2. Step 2: Convert to fraction form
    1,610.30/2,222.40 = 902.18/x
  3. Step 3: Cross multiply
    1,610.30x = 2,222.40 × 902.18
  4. Step 4: Simplify right side
    1,610.30x = 2,004,993.72
  5. Step 5: Solve for x
    x = 2,004,993.72/1,610.30
  6. Step 6: Final answer
    x = 1,245.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.