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Finding the Fourth Proportional to 2,658.24, 3,664.53 and 1,760.48

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Solution

The fourth proportional to 2,658.24, 3,664.53 and 1,760.48 is: 2,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.24 : 3,664.53 = 1,760.48 : x
  2. Step 2: Convert to fraction form
    2,658.24/3,664.53 = 1,760.48/x
  3. Step 3: Cross multiply
    2,658.24x = 3,664.53 × 1,760.48
  4. Step 4: Simplify right side
    2,658.24x = 6,451,304.65
  5. Step 5: Solve for x
    x = 6,451,304.65/2,658.24
  6. Step 6: Final answer
    x = 2,426.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.