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Finding the Fourth Proportional to 3,044.26, 4,566.65 and 852.99

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Solution

The fourth proportional to 3,044.26, 4,566.65 and 852.99 is: 1,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.26 : 4,566.65 = 852.99 : x
  2. Step 2: Convert to fraction form
    3,044.26/4,566.65 = 852.99/x
  3. Step 3: Cross multiply
    3,044.26x = 4,566.65 × 852.99
  4. Step 4: Simplify right side
    3,044.26x = 3,895,279.69
  5. Step 5: Solve for x
    x = 3,895,279.69/3,044.26
  6. Step 6: Final answer
    x = 1,279.55

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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.