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Finding the Fourth Proportional to 1,969.35, 2,715.44 and 1,471.15

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Solution

The fourth proportional to 1,969.35, 2,715.44 and 1,471.15 is: 2,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.35 : 2,715.44 = 1,471.15 : x
  2. Step 2: Convert to fraction form
    1,969.35/2,715.44 = 1,471.15/x
  3. Step 3: Cross multiply
    1,969.35x = 2,715.44 × 1,471.15
  4. Step 4: Simplify right side
    1,969.35x = 3,994,805.98
  5. Step 5: Solve for x
    x = 3,994,805.98/1,969.35
  6. Step 6: Final answer
    x = 2,028.49

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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.