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Finding the Fourth Proportional to 3,663.68, 5,494.52 and 1,442.16

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Solution

The fourth proportional to 3,663.68, 5,494.52 and 1,442.16 is: 2,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.68 : 5,494.52 = 1,442.16 : x
  2. Step 2: Convert to fraction form
    3,663.68/5,494.52 = 1,442.16/x
  3. Step 3: Cross multiply
    3,663.68x = 5,494.52 × 1,442.16
  4. Step 4: Simplify right side
    3,663.68x = 7,923,976.96
  5. Step 5: Solve for x
    x = 7,923,976.96/3,663.68
  6. Step 6: Final answer
    x = 2,162.85

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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.