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Finding the Fourth Proportional to 2,356.57, 3,252.11 and 1,294.43

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Solution

The fourth proportional to 2,356.57, 3,252.11 and 1,294.43 is: 1,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.57 : 3,252.11 = 1,294.43 : x
  2. Step 2: Convert to fraction form
    2,356.57/3,252.11 = 1,294.43/x
  3. Step 3: Cross multiply
    2,356.57x = 3,252.11 × 1,294.43
  4. Step 4: Simplify right side
    2,356.57x = 4,209,630.41
  5. Step 5: Solve for x
    x = 4,209,630.41/2,356.57
  6. Step 6: Final answer
    x = 1,786.34

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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.