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Finding the Fourth Proportional to 2,356.63, 3,252.09 and 1,308.63

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Solution

The fourth proportional to 2,356.63, 3,252.09 and 1,308.63 is: 1,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.63 : 3,252.09 = 1,308.63 : x
  2. Step 2: Convert to fraction form
    2,356.63/3,252.09 = 1,308.63/x
  3. Step 3: Cross multiply
    2,356.63x = 3,252.09 × 1,308.63
  4. Step 4: Simplify right side
    2,356.63x = 4,255,782.54
  5. Step 5: Solve for x
    x = 4,255,782.54/2,356.63
  6. Step 6: Final answer
    x = 1,805.88

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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.