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Finding the Fourth Proportional to 3,169.32, 4,754.38 and 977.86

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Solution

The fourth proportional to 3,169.32, 4,754.38 and 977.86 is: 1,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.32 : 4,754.38 = 977.86 : x
  2. Step 2: Convert to fraction form
    3,169.32/4,754.38 = 977.86/x
  3. Step 3: Cross multiply
    3,169.32x = 4,754.38 × 977.86
  4. Step 4: Simplify right side
    3,169.32x = 4,649,118.03
  5. Step 5: Solve for x
    x = 4,649,118.03/3,169.32
  6. Step 6: Final answer
    x = 1,466.91

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