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Finding the Fourth Proportional to 1,469.71, 2,028.23 and 902.71

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Solution

The fourth proportional to 1,469.71, 2,028.23 and 902.71 is: 1,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.71 : 2,028.23 = 902.71 : x
  2. Step 2: Convert to fraction form
    1,469.71/2,028.23 = 902.71/x
  3. Step 3: Cross multiply
    1,469.71x = 2,028.23 × 902.71
  4. Step 4: Simplify right side
    1,469.71x = 1,830,904.91
  5. Step 5: Solve for x
    x = 1,830,904.91/1,469.71
  6. Step 6: Final answer
    x = 1,245.76

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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.