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Finding the Fourth Proportional to 2,356.81, 3,252.98 and 1,362.71

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Solution

The fourth proportional to 2,356.81, 3,252.98 and 1,362.71 is: 1,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.81 : 3,252.98 = 1,362.71 : x
  2. Step 2: Convert to fraction form
    2,356.81/3,252.98 = 1,362.71/x
  3. Step 3: Cross multiply
    2,356.81x = 3,252.98 × 1,362.71
  4. Step 4: Simplify right side
    2,356.81x = 4,432,845.30
  5. Step 5: Solve for x
    x = 4,432,845.30/2,356.81
  6. Step 6: Final answer
    x = 1,880.87

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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.