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Finding the Fourth Proportional to 2,356.53, 3,252.81 and 1,362.21

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Solution

The fourth proportional to 2,356.53, 3,252.81 and 1,362.21 is: 1,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.53 : 3,252.81 = 1,362.21 : x
  2. Step 2: Convert to fraction form
    2,356.53/3,252.81 = 1,362.21/x
  3. Step 3: Cross multiply
    2,356.53x = 3,252.81 × 1,362.21
  4. Step 4: Simplify right side
    2,356.53x = 4,431,010.31
  5. Step 5: Solve for x
    x = 4,431,010.31/2,356.53
  6. Step 6: Final answer
    x = 1,880.31

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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.