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Finding the Fourth Proportional to 3,163.90, 4,744.58 and 971.86

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Solution

The fourth proportional to 3,163.90, 4,744.58 and 971.86 is: 1,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.90 : 4,744.58 = 971.86 : x
  2. Step 2: Convert to fraction form
    3,163.90/4,744.58 = 971.86/x
  3. Step 3: Cross multiply
    3,163.90x = 4,744.58 × 971.86
  4. Step 4: Simplify right side
    3,163.90x = 4,611,067.52
  5. Step 5: Solve for x
    x = 4,611,067.52/3,163.90
  6. Step 6: Final answer
    x = 1,457.40

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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.