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Finding the Fourth Proportional to 1,619.36, 2,426.48 and 969.28

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Solution

The fourth proportional to 1,619.36, 2,426.48 and 969.28 is: 1,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.36 : 2,426.48 = 969.28 : x
  2. Step 2: Convert to fraction form
    1,619.36/2,426.48 = 969.28/x
  3. Step 3: Cross multiply
    1,619.36x = 2,426.48 × 969.28
  4. Step 4: Simplify right side
    1,619.36x = 2,351,938.53
  5. Step 5: Solve for x
    x = 2,351,938.53/1,619.36
  6. Step 6: Final answer
    x = 1,452.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.