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Finding the Fourth Proportional to 3,077.43, 4,615.07 and 1,229.01

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Solution

The fourth proportional to 3,077.43, 4,615.07 and 1,229.01 is: 1,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.43 : 4,615.07 = 1,229.01 : x
  2. Step 2: Convert to fraction form
    3,077.43/4,615.07 = 1,229.01/x
  3. Step 3: Cross multiply
    3,077.43x = 4,615.07 × 1,229.01
  4. Step 4: Simplify right side
    3,077.43x = 5,671,961.04
  5. Step 5: Solve for x
    x = 5,671,961.04/3,077.43
  6. Step 6: Final answer
    x = 1,843.08

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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.