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Finding the Fourth Proportional to 2,348.37, 3,523.16 and 887.54

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Solution

The fourth proportional to 2,348.37, 3,523.16 and 887.54 is: 1,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.37 : 3,523.16 = 887.54 : x
  2. Step 2: Convert to fraction form
    2,348.37/3,523.16 = 887.54/x
  3. Step 3: Cross multiply
    2,348.37x = 3,523.16 × 887.54
  4. Step 4: Simplify right side
    2,348.37x = 3,126,930.03
  5. Step 5: Solve for x
    x = 3,126,930.03/2,348.37
  6. Step 6: Final answer
    x = 1,331.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.