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Finding the Fourth Proportional to 2,442.70, 3,663.48 and 799.18

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Solution

The fourth proportional to 2,442.70, 3,663.48 and 799.18 is: 1,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.70 : 3,663.48 = 799.18 : x
  2. Step 2: Convert to fraction form
    2,442.70/3,663.48 = 799.18/x
  3. Step 3: Cross multiply
    2,442.70x = 3,663.48 × 799.18
  4. Step 4: Simplify right side
    2,442.70x = 2,927,779.95
  5. Step 5: Solve for x
    x = 2,927,779.95/2,442.70
  6. Step 6: Final answer
    x = 1,198.58

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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.