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Finding the Fourth Proportional to 3,192.65, 4,788.59 and 852.83

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Solution

The fourth proportional to 3,192.65, 4,788.59 and 852.83 is: 1,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.65 : 4,788.59 = 852.83 : x
  2. Step 2: Convert to fraction form
    3,192.65/4,788.59 = 852.83/x
  3. Step 3: Cross multiply
    3,192.65x = 4,788.59 × 852.83
  4. Step 4: Simplify right side
    3,192.65x = 4,083,853.21
  5. Step 5: Solve for x
    x = 4,083,853.21/3,192.65
  6. Step 6: Final answer
    x = 1,279.14

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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.