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Finding the Fourth Proportional to 2,965.35, 4,444.34 and 1,649.81

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Solution

The fourth proportional to 2,965.35, 4,444.34 and 1,649.81 is: 2,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.35 : 4,444.34 = 1,649.81 : x
  2. Step 2: Convert to fraction form
    2,965.35/4,444.34 = 1,649.81/x
  3. Step 3: Cross multiply
    2,965.35x = 4,444.34 × 1,649.81
  4. Step 4: Simplify right side
    2,965.35x = 7,332,319.44
  5. Step 5: Solve for x
    x = 7,332,319.44/2,965.35
  6. Step 6: Final answer
    x = 2,472.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.