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Finding the Fourth Proportional to 1,617.85, 2,232.66 and 909.85

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Solution

The fourth proportional to 1,617.85, 2,232.66 and 909.85 is: 1,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.85 : 2,232.66 = 909.85 : x
  2. Step 2: Convert to fraction form
    1,617.85/2,232.66 = 909.85/x
  3. Step 3: Cross multiply
    1,617.85x = 2,232.66 × 909.85
  4. Step 4: Simplify right side
    1,617.85x = 2,031,385.70
  5. Step 5: Solve for x
    x = 2,031,385.70/1,617.85
  6. Step 6: Final answer
    x = 1,255.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.