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Finding the Fourth Proportional to 2,442.61, 3,664.36 and 799.24

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Solution

The fourth proportional to 2,442.61, 3,664.36 and 799.24 is: 1,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.61 : 3,664.36 = 799.24 : x
  2. Step 2: Convert to fraction form
    2,442.61/3,664.36 = 799.24/x
  3. Step 3: Cross multiply
    2,442.61x = 3,664.36 × 799.24
  4. Step 4: Simplify right side
    2,442.61x = 2,928,703.09
  5. Step 5: Solve for x
    x = 2,928,703.09/2,442.61
  6. Step 6: Final answer
    x = 1,199.01

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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.