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Finding the Fourth Proportional to 2,952.92, 4,429.26 and 1,221.08

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Solution

The fourth proportional to 2,952.92, 4,429.26 and 1,221.08 is: 1,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.92 : 4,429.26 = 1,221.08 : x
  2. Step 2: Convert to fraction form
    2,952.92/4,429.26 = 1,221.08/x
  3. Step 3: Cross multiply
    2,952.92x = 4,429.26 × 1,221.08
  4. Step 4: Simplify right side
    2,952.92x = 5,408,480.80
  5. Step 5: Solve for x
    x = 5,408,480.80/2,952.92
  6. Step 6: Final answer
    x = 1,831.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.