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Finding the Fourth Proportional to 2,209.85, 3,314.84 and 566.41

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Solution

The fourth proportional to 2,209.85, 3,314.84 and 566.41 is: 849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.85 : 3,314.84 = 566.41 : x
  2. Step 2: Convert to fraction form
    2,209.85/3,314.84 = 566.41/x
  3. Step 3: Cross multiply
    2,209.85x = 3,314.84 × 566.41
  4. Step 4: Simplify right side
    2,209.85x = 1,877,558.52
  5. Step 5: Solve for x
    x = 1,877,558.52/2,209.85
  6. Step 6: Final answer
    x = 849.63

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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.