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Finding the Fourth Proportional to 2,356.50, 3,252 and 1,308.54

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Solution

The fourth proportional to 2,356.50, 3,252 and 1,308.54 is: 1,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.50 : 3,252 = 1,308.54 : x
  2. Step 2: Convert to fraction form
    2,356.50/3,252 = 1,308.54/x
  3. Step 3: Cross multiply
    2,356.50x = 3,252 × 1,308.54
  4. Step 4: Simplify right side
    2,356.50x = 4,255,372.08
  5. Step 5: Solve for x
    x = 4,255,372.08/2,356.50
  6. Step 6: Final answer
    x = 1,805.80

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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.