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Finding the Fourth Proportional to 1,538.79, 2,310.81 and 1,469.52

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Solution

The fourth proportional to 1,538.79, 2,310.81 and 1,469.52 is: 2,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.79 : 2,310.81 = 1,469.52 : x
  2. Step 2: Convert to fraction form
    1,538.79/2,310.81 = 1,469.52/x
  3. Step 3: Cross multiply
    1,538.79x = 2,310.81 × 1,469.52
  4. Step 4: Simplify right side
    1,538.79x = 3,395,781.51
  5. Step 5: Solve for x
    x = 3,395,781.51/1,538.79
  6. Step 6: Final answer
    x = 2,206.79

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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.