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Finding the Fourth Proportional to 2,965.76, 4,090.27 and 2,221.50

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Solution

The fourth proportional to 2,965.76, 4,090.27 and 2,221.50 is: 3,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.76 : 4,090.27 = 2,221.50 : x
  2. Step 2: Convert to fraction form
    2,965.76/4,090.27 = 2,221.50/x
  3. Step 3: Cross multiply
    2,965.76x = 4,090.27 × 2,221.50
  4. Step 4: Simplify right side
    2,965.76x = 9,086,534.81
  5. Step 5: Solve for x
    x = 9,086,534.81/2,965.76
  6. Step 6: Final answer
    x = 3,063.81

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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.