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Finding the Fourth Proportional to 2,944.73, 4,417.70 and 997.09

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Solution

The fourth proportional to 2,944.73, 4,417.70 and 997.09 is: 1,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.73 : 4,417.70 = 997.09 : x
  2. Step 2: Convert to fraction form
    2,944.73/4,417.70 = 997.09/x
  3. Step 3: Cross multiply
    2,944.73x = 4,417.70 × 997.09
  4. Step 4: Simplify right side
    2,944.73x = 4,404,844.49
  5. Step 5: Solve for x
    x = 4,404,844.49/2,944.73
  6. Step 6: Final answer
    x = 1,495.84

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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.