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Finding the Fourth Proportional to 2,326.52, 3,484.92 and 2,166.68

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Solution

The fourth proportional to 2,326.52, 3,484.92 and 2,166.68 is: 3,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.52 : 3,484.92 = 2,166.68 : x
  2. Step 2: Convert to fraction form
    2,326.52/3,484.92 = 2,166.68/x
  3. Step 3: Cross multiply
    2,326.52x = 3,484.92 × 2,166.68
  4. Step 4: Simplify right side
    2,326.52x = 7,550,706.47
  5. Step 5: Solve for x
    x = 7,550,706.47/2,326.52
  6. Step 6: Final answer
    x = 3,245.49

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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.