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Finding the Fourth Proportional to 2,644.11, 3,966.72 and 795.36

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Solution

The fourth proportional to 2,644.11, 3,966.72 and 795.36 is: 1,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.11 : 3,966.72 = 795.36 : x
  2. Step 2: Convert to fraction form
    2,644.11/3,966.72 = 795.36/x
  3. Step 3: Cross multiply
    2,644.11x = 3,966.72 × 795.36
  4. Step 4: Simplify right side
    2,644.11x = 3,154,970.42
  5. Step 5: Solve for x
    x = 3,154,970.42/2,644.11
  6. Step 6: Final answer
    x = 1,193.21

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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.