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Finding the Fourth Proportional to 2,642.63, 3,646.82 and 1,463.70

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Solution

The fourth proportional to 2,642.63, 3,646.82 and 1,463.70 is: 2,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.63 : 3,646.82 = 1,463.70 : x
  2. Step 2: Convert to fraction form
    2,642.63/3,646.82 = 1,463.70/x
  3. Step 3: Cross multiply
    2,642.63x = 3,646.82 × 1,463.70
  4. Step 4: Simplify right side
    2,642.63x = 5,337,837.00
  5. Step 5: Solve for x
    x = 5,337,837.00/2,642.63
  6. Step 6: Final answer
    x = 2,019.90

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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.