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Finding the Fourth Proportional to 1,654.59, 2,463.89 and 1,636.41

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Solution

The fourth proportional to 1,654.59, 2,463.89 and 1,636.41 is: 2,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.59 : 2,463.89 = 1,636.41 : x
  2. Step 2: Convert to fraction form
    1,654.59/2,463.89 = 1,636.41/x
  3. Step 3: Cross multiply
    1,654.59x = 2,463.89 × 1,636.41
  4. Step 4: Simplify right side
    1,654.59x = 4,031,938.33
  5. Step 5: Solve for x
    x = 4,031,938.33/1,654.59
  6. Step 6: Final answer
    x = 2,436.82

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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.