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Finding the Fourth Proportional to 3,164.64, 4,747.77 and 1,216.32

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Solution

The fourth proportional to 3,164.64, 4,747.77 and 1,216.32 is: 1,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.64 : 4,747.77 = 1,216.32 : x
  2. Step 2: Convert to fraction form
    3,164.64/4,747.77 = 1,216.32/x
  3. Step 3: Cross multiply
    3,164.64x = 4,747.77 × 1,216.32
  4. Step 4: Simplify right side
    3,164.64x = 5,774,807.61
  5. Step 5: Solve for x
    x = 5,774,807.61/3,164.64
  6. Step 6: Final answer
    x = 1,824.79

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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.