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Finding the Fourth Proportional to 2,965.69, 4,448.58 and 1,019.26

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Solution

The fourth proportional to 2,965.69, 4,448.58 and 1,019.26 is: 1,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.69 : 4,448.58 = 1,019.26 : x
  2. Step 2: Convert to fraction form
    2,965.69/4,448.58 = 1,019.26/x
  3. Step 3: Cross multiply
    2,965.69x = 4,448.58 × 1,019.26
  4. Step 4: Simplify right side
    2,965.69x = 4,534,259.65
  5. Step 5: Solve for x
    x = 4,534,259.65/2,965.69
  6. Step 6: Final answer
    x = 1,528.91

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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.