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Finding the Fourth Proportional to 2,000.13, 3,000.64 and 768.12

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Solution

The fourth proportional to 2,000.13, 3,000.64 and 768.12 is: 1,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.13 : 3,000.64 = 768.12 : x
  2. Step 2: Convert to fraction form
    2,000.13/3,000.64 = 768.12/x
  3. Step 3: Cross multiply
    2,000.13x = 3,000.64 × 768.12
  4. Step 4: Simplify right side
    2,000.13x = 2,304,851.60
  5. Step 5: Solve for x
    x = 2,304,851.60/2,000.13
  6. Step 6: Final answer
    x = 1,152.35

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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.