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Finding the Fourth Proportional to 3,444.23, 5,166.30 and 847.19

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Solution

The fourth proportional to 3,444.23, 5,166.30 and 847.19 is: 1,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.23 : 5,166.30 = 847.19 : x
  2. Step 2: Convert to fraction form
    3,444.23/5,166.30 = 847.19/x
  3. Step 3: Cross multiply
    3,444.23x = 5,166.30 × 847.19
  4. Step 4: Simplify right side
    3,444.23x = 4,376,837.70
  5. Step 5: Solve for x
    x = 4,376,837.70/3,444.23
  6. Step 6: Final answer
    x = 1,270.77

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Similar ratio
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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.