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Finding the Fourth Proportional to 2,965.48, 4,448.23 and 2,785.05

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Solution

The fourth proportional to 2,965.48, 4,448.23 and 2,785.05 is: 4,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.48 : 4,448.23 = 2,785.05 : x
  2. Step 2: Convert to fraction form
    2,965.48/4,448.23 = 2,785.05/x
  3. Step 3: Cross multiply
    2,965.48x = 4,448.23 × 2,785.05
  4. Step 4: Simplify right side
    2,965.48x = 12,388,536.00
  5. Step 5: Solve for x
    x = 12,388,536.00/2,965.48
  6. Step 6: Final answer
    x = 4,177.59

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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.