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Finding the Fourth Proportional to 3,443.77, 4,752.44 and 2,046.25

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Solution

The fourth proportional to 3,443.77, 4,752.44 and 2,046.25 is: 2,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.77 : 4,752.44 = 2,046.25 : x
  2. Step 2: Convert to fraction form
    3,443.77/4,752.44 = 2,046.25/x
  3. Step 3: Cross multiply
    3,443.77x = 4,752.44 × 2,046.25
  4. Step 4: Simplify right side
    3,443.77x = 9,724,680.35
  5. Step 5: Solve for x
    x = 9,724,680.35/3,443.77
  6. Step 6: Final answer
    x = 2,823.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.