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Finding the Fourth Proportional to 2,965.43, 4,448.69 and 1,017.20

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Solution

The fourth proportional to 2,965.43, 4,448.69 and 1,017.20 is: 1,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.43 : 4,448.69 = 1,017.20 : x
  2. Step 2: Convert to fraction form
    2,965.43/4,448.69 = 1,017.20/x
  3. Step 3: Cross multiply
    2,965.43x = 4,448.69 × 1,017.20
  4. Step 4: Simplify right side
    2,965.43x = 4,525,207.47
  5. Step 5: Solve for x
    x = 4,525,207.47/2,965.43
  6. Step 6: Final answer
    x = 1,525.99

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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.