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Finding the Fourth Proportional to 2,644.09, 3,966.13 and 795.40

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Solution

The fourth proportional to 2,644.09, 3,966.13 and 795.40 is: 1,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.09 : 3,966.13 = 795.40 : x
  2. Step 2: Convert to fraction form
    2,644.09/3,966.13 = 795.40/x
  3. Step 3: Cross multiply
    2,644.09x = 3,966.13 × 795.40
  4. Step 4: Simplify right side
    2,644.09x = 3,154,659.80
  5. Step 5: Solve for x
    x = 3,154,659.80/2,644.09
  6. Step 6: Final answer
    x = 1,193.10

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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.