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Finding the Fourth Proportional to 3,169.96, 4,754.04 and 977.44

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Solution

The fourth proportional to 3,169.96, 4,754.04 and 977.44 is: 1,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.96 : 4,754.04 = 977.44 : x
  2. Step 2: Convert to fraction form
    3,169.96/4,754.04 = 977.44/x
  3. Step 3: Cross multiply
    3,169.96x = 4,754.04 × 977.44
  4. Step 4: Simplify right side
    3,169.96x = 4,646,788.86
  5. Step 5: Solve for x
    x = 4,646,788.86/3,169.96
  6. Step 6: Final answer
    x = 1,465.88

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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.