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Finding the Fourth Proportional to 2,972.48, 4,458.70 and 997.94

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Solution

The fourth proportional to 2,972.48, 4,458.70 and 997.94 is: 1,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.48 : 4,458.70 = 997.94 : x
  2. Step 2: Convert to fraction form
    2,972.48/4,458.70 = 997.94/x
  3. Step 3: Cross multiply
    2,972.48x = 4,458.70 × 997.94
  4. Step 4: Simplify right side
    2,972.48x = 4,449,515.08
  5. Step 5: Solve for x
    x = 4,449,515.08/2,972.48
  6. Step 6: Final answer
    x = 1,496.90

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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.