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Finding the Fourth Proportional to 2,356.84, 3,252.70 and 1,362.44

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Solution

The fourth proportional to 2,356.84, 3,252.70 and 1,362.44 is: 1,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.84 : 3,252.70 = 1,362.44 : x
  2. Step 2: Convert to fraction form
    2,356.84/3,252.70 = 1,362.44/x
  3. Step 3: Cross multiply
    2,356.84x = 3,252.70 × 1,362.44
  4. Step 4: Simplify right side
    2,356.84x = 4,431,608.59
  5. Step 5: Solve for x
    x = 4,431,608.59/2,356.84
  6. Step 6: Final answer
    x = 1,880.32

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Why These Related Problems?

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