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Finding the Fourth Proportional to 3,069.63, 4,604.51 and 1,221.21

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Solution

The fourth proportional to 3,069.63, 4,604.51 and 1,221.21 is: 1,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.63 : 4,604.51 = 1,221.21 : x
  2. Step 2: Convert to fraction form
    3,069.63/4,604.51 = 1,221.21/x
  3. Step 3: Cross multiply
    3,069.63x = 4,604.51 × 1,221.21
  4. Step 4: Simplify right side
    3,069.63x = 5,623,076.71
  5. Step 5: Solve for x
    x = 5,623,076.71/3,069.63
  6. Step 6: Final answer
    x = 1,831.84

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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.