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Finding the Fourth Proportional to 2,973.43, 4,105.35 and 2,657.69

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Solution

The fourth proportional to 2,973.43, 4,105.35 and 2,657.69 is: 3,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.43 : 4,105.35 = 2,657.69 : x
  2. Step 2: Convert to fraction form
    2,973.43/4,105.35 = 2,657.69/x
  3. Step 3: Cross multiply
    2,973.43x = 4,105.35 × 2,657.69
  4. Step 4: Simplify right side
    2,973.43x = 10,910,713.83
  5. Step 5: Solve for x
    x = 10,910,713.83/2,973.43
  6. Step 6: Final answer
    x = 3,669.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.