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Finding the Fourth Proportional to 2,642.09, 3,646.23 and 1,463.14

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Solution

The fourth proportional to 2,642.09, 3,646.23 and 1,463.14 is: 2,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.09 : 3,646.23 = 1,463.14 : x
  2. Step 2: Convert to fraction form
    2,642.09/3,646.23 = 1,463.14/x
  3. Step 3: Cross multiply
    2,642.09x = 3,646.23 × 1,463.14
  4. Step 4: Simplify right side
    2,642.09x = 5,334,926.73
  5. Step 5: Solve for x
    x = 5,334,926.73/2,642.09
  6. Step 6: Final answer
    x = 2,019.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.