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Finding the Fourth Proportional to 2,000.23, 3,000.35 and 613.57

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Solution

The fourth proportional to 2,000.23, 3,000.35 and 613.57 is: 920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.23 : 3,000.35 = 613.57 : x
  2. Step 2: Convert to fraction form
    2,000.23/3,000.35 = 613.57/x
  3. Step 3: Cross multiply
    2,000.23x = 3,000.35 × 613.57
  4. Step 4: Simplify right side
    2,000.23x = 1,840,924.75
  5. Step 5: Solve for x
    x = 1,840,924.75/2,000.23
  6. Step 6: Final answer
    x = 920.36

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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.