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Finding the Fourth Proportional to 2,642.49, 3,646.86 and 1,463.79

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Solution

The fourth proportional to 2,642.49, 3,646.86 and 1,463.79 is: 2,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.49 : 3,646.86 = 1,463.79 : x
  2. Step 2: Convert to fraction form
    2,642.49/3,646.86 = 1,463.79/x
  3. Step 3: Cross multiply
    2,642.49x = 3,646.86 × 1,463.79
  4. Step 4: Simplify right side
    2,642.49x = 5,338,237.20
  5. Step 5: Solve for x
    x = 5,338,237.20/2,642.49
  6. Step 6: Final answer
    x = 2,020.15

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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.