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Finding the Fourth Proportional to 3,077.74, 4,616.61 and 1,435.44

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Solution

The fourth proportional to 3,077.74, 4,616.61 and 1,435.44 is: 2,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.74 : 4,616.61 = 1,435.44 : x
  2. Step 2: Convert to fraction form
    3,077.74/4,616.61 = 1,435.44/x
  3. Step 3: Cross multiply
    3,077.74x = 4,616.61 × 1,435.44
  4. Step 4: Simplify right side
    3,077.74x = 6,626,843.58
  5. Step 5: Solve for x
    x = 6,626,843.58/3,077.74
  6. Step 6: Final answer
    x = 2,153.15

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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.