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Finding the Fourth Proportional to 2,642.22, 3,646.01 and 1,463.27

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Solution

The fourth proportional to 2,642.22, 3,646.01 and 1,463.27 is: 2,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.22 : 3,646.01 = 1,463.27 : x
  2. Step 2: Convert to fraction form
    2,642.22/3,646.01 = 1,463.27/x
  3. Step 3: Cross multiply
    2,642.22x = 3,646.01 × 1,463.27
  4. Step 4: Simplify right side
    2,642.22x = 5,335,082.48
  5. Step 5: Solve for x
    x = 5,335,082.48/2,642.22
  6. Step 6: Final answer
    x = 2,019.17

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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.