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Finding the Fourth Proportional to 2,972.01, 4,457.49 and 997.44

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Solution

The fourth proportional to 2,972.01, 4,457.49 and 997.44 is: 1,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.01 : 4,457.49 = 997.44 : x
  2. Step 2: Convert to fraction form
    2,972.01/4,457.49 = 997.44/x
  3. Step 3: Cross multiply
    2,972.01x = 4,457.49 × 997.44
  4. Step 4: Simplify right side
    2,972.01x = 4,446,078.83
  5. Step 5: Solve for x
    x = 4,446,078.83/2,972.01
  6. Step 6: Final answer
    x = 1,495.98

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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.