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Finding the Fourth Proportional to 2,525.24, 3,788.29 and 965.38

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Solution

The fourth proportional to 2,525.24, 3,788.29 and 965.38 is: 1,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.24 : 3,788.29 = 965.38 : x
  2. Step 2: Convert to fraction form
    2,525.24/3,788.29 = 965.38/x
  3. Step 3: Cross multiply
    2,525.24x = 3,788.29 × 965.38
  4. Step 4: Simplify right side
    2,525.24x = 3,657,139.40
  5. Step 5: Solve for x
    x = 3,657,139.40/2,525.24
  6. Step 6: Final answer
    x = 1,448.23

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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.