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Finding the Fourth Proportional to 2,963.79, 4,448.36 and 1,578.28

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Solution

The fourth proportional to 2,963.79, 4,448.36 and 1,578.28 is: 2,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.79 : 4,448.36 = 1,578.28 : x
  2. Step 2: Convert to fraction form
    2,963.79/4,448.36 = 1,578.28/x
  3. Step 3: Cross multiply
    2,963.79x = 4,448.36 × 1,578.28
  4. Step 4: Simplify right side
    2,963.79x = 7,020,757.62
  5. Step 5: Solve for x
    x = 7,020,757.62/2,963.79
  6. Step 6: Final answer
    x = 2,368.84

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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.