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Finding the Fourth Proportional to 2,658.08, 3,667.99 and 1,462.86

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Solution

The fourth proportional to 2,658.08, 3,667.99 and 1,462.86 is: 2,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.08 : 3,667.99 = 1,462.86 : x
  2. Step 2: Convert to fraction form
    2,658.08/3,667.99 = 1,462.86/x
  3. Step 3: Cross multiply
    2,658.08x = 3,667.99 × 1,462.86
  4. Step 4: Simplify right side
    2,658.08x = 5,365,754.02
  5. Step 5: Solve for x
    x = 5,365,754.02/2,658.08
  6. Step 6: Final answer
    x = 2,018.66

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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.