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Finding the Fourth Proportional to 2,069.70, 3,105.02 and 608.86

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Solution

The fourth proportional to 2,069.70, 3,105.02 and 608.86 is: 913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.70 : 3,105.02 = 608.86 : x
  2. Step 2: Convert to fraction form
    2,069.70/3,105.02 = 608.86/x
  3. Step 3: Cross multiply
    2,069.70x = 3,105.02 × 608.86
  4. Step 4: Simplify right side
    2,069.70x = 1,890,522.48
  5. Step 5: Solve for x
    x = 1,890,522.48/2,069.70
  6. Step 6: Final answer
    x = 913.43

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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.