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Finding the Fourth Proportional to 1,610.74, 2,222.71 and 902.46

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Solution

The fourth proportional to 1,610.74, 2,222.71 and 902.46 is: 1,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.74 : 2,222.71 = 902.46 : x
  2. Step 2: Convert to fraction form
    1,610.74/2,222.71 = 902.46/x
  3. Step 3: Cross multiply
    1,610.74x = 2,222.71 × 902.46
  4. Step 4: Simplify right side
    1,610.74x = 2,005,906.87
  5. Step 5: Solve for x
    x = 2,005,906.87/1,610.74
  6. Step 6: Final answer
    x = 1,245.33

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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.