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Finding the Fourth Proportional to 2,349.49, 3,505.86 and 2,335.83

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Solution

The fourth proportional to 2,349.49, 3,505.86 and 2,335.83 is: 3,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.49 : 3,505.86 = 2,335.83 : x
  2. Step 2: Convert to fraction form
    2,349.49/3,505.86 = 2,335.83/x
  3. Step 3: Cross multiply
    2,349.49x = 3,505.86 × 2,335.83
  4. Step 4: Simplify right side
    2,349.49x = 8,189,092.96
  5. Step 5: Solve for x
    x = 8,189,092.96/2,349.49
  6. Step 6: Final answer
    x = 3,485.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.