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Finding the Fourth Proportional to 2,658.34, 3,667.53 and 1,610.02

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Solution

The fourth proportional to 2,658.34, 3,667.53 and 1,610.02 is: 2,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.34 : 3,667.53 = 1,610.02 : x
  2. Step 2: Convert to fraction form
    2,658.34/3,667.53 = 1,610.02/x
  3. Step 3: Cross multiply
    2,658.34x = 3,667.53 × 1,610.02
  4. Step 4: Simplify right side
    2,658.34x = 5,904,796.65
  5. Step 5: Solve for x
    x = 5,904,796.65/2,658.34
  6. Step 6: Final answer
    x = 2,221.23

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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.