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Finding the Fourth Proportional to 2,349.35, 3,504.86 and 2,164.83

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Solution

The fourth proportional to 2,349.35, 3,504.86 and 2,164.83 is: 3,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.35 : 3,504.86 = 2,164.83 : x
  2. Step 2: Convert to fraction form
    2,349.35/3,504.86 = 2,164.83/x
  3. Step 3: Cross multiply
    2,349.35x = 3,504.86 × 2,164.83
  4. Step 4: Simplify right side
    2,349.35x = 7,587,407.18
  5. Step 5: Solve for x
    x = 7,587,407.18/2,349.35
  6. Step 6: Final answer
    x = 3,229.57

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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.