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Finding the Fourth Proportional to 2,356.35, 3,252.86 and 1,472.73

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Solution

The fourth proportional to 2,356.35, 3,252.86 and 1,472.73 is: 2,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.35 : 3,252.86 = 1,472.73 : x
  2. Step 2: Convert to fraction form
    2,356.35/3,252.86 = 1,472.73/x
  3. Step 3: Cross multiply
    2,356.35x = 3,252.86 × 1,472.73
  4. Step 4: Simplify right side
    2,356.35x = 4,790,577.14
  5. Step 5: Solve for x
    x = 4,790,577.14/2,356.35
  6. Step 6: Final answer
    x = 2,033.05

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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.