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Finding the Fourth Proportional to 2,580.99, 3,871.53 and 633.21

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Solution

The fourth proportional to 2,580.99, 3,871.53 and 633.21 is: 949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.99 : 3,871.53 = 633.21 : x
  2. Step 2: Convert to fraction form
    2,580.99/3,871.53 = 633.21/x
  3. Step 3: Cross multiply
    2,580.99x = 3,871.53 × 633.21
  4. Step 4: Simplify right side
    2,580.99x = 2,451,491.51
  5. Step 5: Solve for x
    x = 2,451,491.51/2,580.99
  6. Step 6: Final answer
    x = 949.83

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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.