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Finding the Fourth Proportional to 2,204.01, 3,038.13 and 1,643.63

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Solution

The fourth proportional to 2,204.01, 3,038.13 and 1,643.63 is: 2,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.01 : 3,038.13 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    2,204.01/3,038.13 = 1,643.63/x
  3. Step 3: Cross multiply
    2,204.01x = 3,038.13 × 1,643.63
  4. Step 4: Simplify right side
    2,204.01x = 4,993,546.42
  5. Step 5: Solve for x
    x = 4,993,546.42/2,204.01
  6. Step 6: Final answer
    x = 2,265.66

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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.