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Finding the Fourth Proportional to 2,509.22, 3,763.80 and 1,028.13

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Solution

The fourth proportional to 2,509.22, 3,763.80 and 1,028.13 is: 1,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.22 : 3,763.80 = 1,028.13 : x
  2. Step 2: Convert to fraction form
    2,509.22/3,763.80 = 1,028.13/x
  3. Step 3: Cross multiply
    2,509.22x = 3,763.80 × 1,028.13
  4. Step 4: Simplify right side
    2,509.22x = 3,869,675.69
  5. Step 5: Solve for x
    x = 3,869,675.69/2,509.22
  6. Step 6: Final answer
    x = 1,542.19

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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.