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Finding the Fourth Proportional to 2,965.00, 4,091.54 and 1,638.63

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Solution

The fourth proportional to 2,965.00, 4,091.54 and 1,638.63 is: 2,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.00 : 4,091.54 = 1,638.63 : x
  2. Step 2: Convert to fraction form
    2,965.00/4,091.54 = 1,638.63/x
  3. Step 3: Cross multiply
    2,965.00x = 4,091.54 × 1,638.63
  4. Step 4: Simplify right side
    2,965.00x = 6,704,502.80
  5. Step 5: Solve for x
    x = 6,704,502.80/2,965.00
  6. Step 6: Final answer
    x = 2,261.21

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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.