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Finding the Fourth Proportional to 2,315.45, 3,469.47 and 1,654.22

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Solution

The fourth proportional to 2,315.45, 3,469.47 and 1,654.22 is: 2,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.45 : 3,469.47 = 1,654.22 : x
  2. Step 2: Convert to fraction form
    2,315.45/3,469.47 = 1,654.22/x
  3. Step 3: Cross multiply
    2,315.45x = 3,469.47 × 1,654.22
  4. Step 4: Simplify right side
    2,315.45x = 5,739,266.66
  5. Step 5: Solve for x
    x = 5,739,266.66/2,315.45
  6. Step 6: Final answer
    x = 2,478.68

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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.