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Finding the Fourth Proportional to 3,113, 4,667.68 and 1,467.90

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Solution

The fourth proportional to 3,113, 4,667.68 and 1,467.90 is: 2,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113 : 4,667.68 = 1,467.90 : x
  2. Step 2: Convert to fraction form
    3,113/4,667.68 = 1,467.90/x
  3. Step 3: Cross multiply
    3,113x = 4,667.68 × 1,467.90
  4. Step 4: Simplify right side
    3,113x = 6,851,687.47
  5. Step 5: Solve for x
    x = 6,851,687.47/3,113
  6. Step 6: Final answer
    x = 2,200.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.