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Finding the Fourth Proportional to 3,169.95, 4,752.05 and 1,221.63

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Solution

The fourth proportional to 3,169.95, 4,752.05 and 1,221.63 is: 1,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.95 : 4,752.05 = 1,221.63 : x
  2. Step 2: Convert to fraction form
    3,169.95/4,752.05 = 1,221.63/x
  3. Step 3: Cross multiply
    3,169.95x = 4,752.05 × 1,221.63
  4. Step 4: Simplify right side
    3,169.95x = 5,805,240.73
  5. Step 5: Solve for x
    x = 5,805,240.73/3,169.95
  6. Step 6: Final answer
    x = 1,831.34

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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.