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Finding the Fourth Proportional to 2,442.28, 3,663.74 and 798.28

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Solution

The fourth proportional to 2,442.28, 3,663.74 and 798.28 is: 1,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.28 : 3,663.74 = 798.28 : x
  2. Step 2: Convert to fraction form
    2,442.28/3,663.74 = 798.28/x
  3. Step 3: Cross multiply
    2,442.28x = 3,663.74 × 798.28
  4. Step 4: Simplify right side
    2,442.28x = 2,924,690.37
  5. Step 5: Solve for x
    x = 2,924,690.37/2,442.28
  6. Step 6: Final answer
    x = 1,197.52

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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.