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Finding the Fourth Proportional to 2,279.99, 3,420.12 and 818.75

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Solution

The fourth proportional to 2,279.99, 3,420.12 and 818.75 is: 1,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.99 : 3,420.12 = 818.75 : x
  2. Step 2: Convert to fraction form
    2,279.99/3,420.12 = 818.75/x
  3. Step 3: Cross multiply
    2,279.99x = 3,420.12 × 818.75
  4. Step 4: Simplify right side
    2,279.99x = 2,800,223.25
  5. Step 5: Solve for x
    x = 2,800,223.25/2,279.99
  6. Step 6: Final answer
    x = 1,228.17

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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.