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Finding the Fourth Proportional to 2,657.90, 3,667.91 and 1,462.95

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Solution

The fourth proportional to 2,657.90, 3,667.91 and 1,462.95 is: 2,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.90 : 3,667.91 = 1,462.95 : x
  2. Step 2: Convert to fraction form
    2,657.90/3,667.91 = 1,462.95/x
  3. Step 3: Cross multiply
    2,657.90x = 3,667.91 × 1,462.95
  4. Step 4: Simplify right side
    2,657.90x = 5,365,961.62
  5. Step 5: Solve for x
    x = 5,365,961.62/2,657.90
  6. Step 6: Final answer
    x = 2,018.87

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Why These Related Problems?

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