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Finding the Fourth Proportional to 2,000.18, 3,000.36 and 701.66

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Solution

The fourth proportional to 2,000.18, 3,000.36 and 701.66 is: 1,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.18 : 3,000.36 = 701.66 : x
  2. Step 2: Convert to fraction form
    2,000.18/3,000.36 = 701.66/x
  3. Step 3: Cross multiply
    2,000.18x = 3,000.36 × 701.66
  4. Step 4: Simplify right side
    2,000.18x = 2,105,232.60
  5. Step 5: Solve for x
    x = 2,105,232.60/2,000.18
  6. Step 6: Final answer
    x = 1,052.52

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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.