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Finding the Fourth Proportional to 3,297.53, 4,944.84 and 988.49

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Solution

The fourth proportional to 3,297.53, 4,944.84 and 988.49 is: 1,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.53 : 4,944.84 = 988.49 : x
  2. Step 2: Convert to fraction form
    3,297.53/4,944.84 = 988.49/x
  3. Step 3: Cross multiply
    3,297.53x = 4,944.84 × 988.49
  4. Step 4: Simplify right side
    3,297.53x = 4,887,900.17
  5. Step 5: Solve for x
    x = 4,887,900.17/3,297.53
  6. Step 6: Final answer
    x = 1,482.29

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1.5x scale

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.