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Finding the Fourth Proportional to 2,644.09, 3,966.12 and 795.13

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Solution

The fourth proportional to 2,644.09, 3,966.12 and 795.13 is: 1,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.09 : 3,966.12 = 795.13 : x
  2. Step 2: Convert to fraction form
    2,644.09/3,966.12 = 795.13/x
  3. Step 3: Cross multiply
    2,644.09x = 3,966.12 × 795.13
  4. Step 4: Simplify right side
    2,644.09x = 3,153,581.00
  5. Step 5: Solve for x
    x = 3,153,581.00/2,644.09
  6. Step 6: Final answer
    x = 1,192.69

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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.