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Finding the Fourth Proportional to 3,192.30, 4,788.68 and 852.29

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Solution

The fourth proportional to 3,192.30, 4,788.68 and 852.29 is: 1,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.30 : 4,788.68 = 852.29 : x
  2. Step 2: Convert to fraction form
    3,192.30/4,788.68 = 852.29/x
  3. Step 3: Cross multiply
    3,192.30x = 4,788.68 × 852.29
  4. Step 4: Simplify right side
    3,192.30x = 4,081,344.08
  5. Step 5: Solve for x
    x = 4,081,344.08/3,192.30
  6. Step 6: Final answer
    x = 1,278.50

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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.