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Finding the Fourth Proportional to 1,469.97, 2,028.66 and 971.75

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Solution

The fourth proportional to 1,469.97, 2,028.66 and 971.75 is: 1,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.97 : 2,028.66 = 971.75 : x
  2. Step 2: Convert to fraction form
    1,469.97/2,028.66 = 971.75/x
  3. Step 3: Cross multiply
    1,469.97x = 2,028.66 × 971.75
  4. Step 4: Simplify right side
    1,469.97x = 1,971,340.21
  5. Step 5: Solve for x
    x = 1,971,340.21/1,469.97
  6. Step 6: Final answer
    x = 1,341.08

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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.