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Finding the Fourth Proportional to 2,799.90, 4,199.82 and 852.11

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Solution

The fourth proportional to 2,799.90, 4,199.82 and 852.11 is: 1,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.90 : 4,199.82 = 852.11 : x
  2. Step 2: Convert to fraction form
    2,799.90/4,199.82 = 852.11/x
  3. Step 3: Cross multiply
    2,799.90x = 4,199.82 × 852.11
  4. Step 4: Simplify right side
    2,799.90x = 3,578,708.62
  5. Step 5: Solve for x
    x = 3,578,708.62/2,799.90
  6. Step 6: Final answer
    x = 1,278.16

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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.