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Finding the Fourth Proportional to 3,149.82, 4,723.11 and 1,417.50

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Solution

The fourth proportional to 3,149.82, 4,723.11 and 1,417.50 is: 2,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.82 : 4,723.11 = 1,417.50 : x
  2. Step 2: Convert to fraction form
    3,149.82/4,723.11 = 1,417.50/x
  3. Step 3: Cross multiply
    3,149.82x = 4,723.11 × 1,417.50
  4. Step 4: Simplify right side
    3,149.82x = 6,695,008.43
  5. Step 5: Solve for x
    x = 6,695,008.43/3,149.82
  6. Step 6: Final answer
    x = 2,125.52

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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.