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Finding the Fourth Proportional to 2,002.70, 3,003.93 and 770.06

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Solution

The fourth proportional to 2,002.70, 3,003.93 and 770.06 is: 1,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.70 : 3,003.93 = 770.06 : x
  2. Step 2: Convert to fraction form
    2,002.70/3,003.93 = 770.06/x
  3. Step 3: Cross multiply
    2,002.70x = 3,003.93 × 770.06
  4. Step 4: Simplify right side
    2,002.70x = 2,313,206.34
  5. Step 5: Solve for x
    x = 2,313,206.34/2,002.70
  6. Step 6: Final answer
    x = 1,155.04

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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.