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Finding the Fourth Proportional to 1,638.59, 2,445.29 and 1,463.42

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Solution

The fourth proportional to 1,638.59, 2,445.29 and 1,463.42 is: 2,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.59 : 2,445.29 = 1,463.42 : x
  2. Step 2: Convert to fraction form
    1,638.59/2,445.29 = 1,463.42/x
  3. Step 3: Cross multiply
    1,638.59x = 2,445.29 × 1,463.42
  4. Step 4: Simplify right side
    1,638.59x = 3,578,485.09
  5. Step 5: Solve for x
    x = 3,578,485.09/1,638.59
  6. Step 6: Final answer
    x = 2,183.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.