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Finding the Fourth Proportional to 3,339.90, 4,608.06 and 2,346

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Solution

The fourth proportional to 3,339.90, 4,608.06 and 2,346 is: 3,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.90 : 4,608.06 = 2,346 : x
  2. Step 2: Convert to fraction form
    3,339.90/4,608.06 = 2,346/x
  3. Step 3: Cross multiply
    3,339.90x = 4,608.06 × 2,346
  4. Step 4: Simplify right side
    3,339.90x = 10,810,508.76
  5. Step 5: Solve for x
    x = 10,810,508.76/3,339.90
  6. Step 6: Final answer
    x = 3,236.78

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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.