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Finding the Fourth Proportional to 2,063.59, 3,095.35 and 830.97

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Solution

The fourth proportional to 2,063.59, 3,095.35 and 830.97 is: 1,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.59 : 3,095.35 = 830.97 : x
  2. Step 2: Convert to fraction form
    2,063.59/3,095.35 = 830.97/x
  3. Step 3: Cross multiply
    2,063.59x = 3,095.35 × 830.97
  4. Step 4: Simplify right side
    2,063.59x = 2,572,142.99
  5. Step 5: Solve for x
    x = 2,572,142.99/2,063.59
  6. Step 6: Final answer
    x = 1,246.44

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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.