Home / 3,297-4,944.48-1,105.32

Finding the Fourth Proportional to 3,297, 4,944.48 and 1,105.32

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Solution

The fourth proportional to 3,297, 4,944.48 and 1,105.32 is: 1,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297 : 4,944.48 = 1,105.32 : x
  2. Step 2: Convert to fraction form
    3,297/4,944.48 = 1,105.32/x
  3. Step 3: Cross multiply
    3,297x = 4,944.48 × 1,105.32
  4. Step 4: Simplify right side
    3,297x = 5,465,232.63
  5. Step 5: Solve for x
    x = 5,465,232.63/3,297
  6. Step 6: Final answer
    x = 1,657.64

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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.