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Finding the Fourth Proportional to 2,442.75, 3,664.71 and 799.30

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Solution

The fourth proportional to 2,442.75, 3,664.71 and 799.30 is: 1,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.75 : 3,664.71 = 799.30 : x
  2. Step 2: Convert to fraction form
    2,442.75/3,664.71 = 799.30/x
  3. Step 3: Cross multiply
    2,442.75x = 3,664.71 × 799.30
  4. Step 4: Simplify right side
    2,442.75x = 2,929,180.38
  5. Step 5: Solve for x
    x = 2,929,180.38/2,442.75
  6. Step 6: Final answer
    x = 1,199.13

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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.