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Finding the Fourth Proportional to 2,654.16, 3,979.89 and 898.62

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Solution

The fourth proportional to 2,654.16, 3,979.89 and 898.62 is: 1,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.16 : 3,979.89 = 898.62 : x
  2. Step 2: Convert to fraction form
    2,654.16/3,979.89 = 898.62/x
  3. Step 3: Cross multiply
    2,654.16x = 3,979.89 × 898.62
  4. Step 4: Simplify right side
    2,654.16x = 3,576,408.75
  5. Step 5: Solve for x
    x = 3,576,408.75/2,654.16
  6. Step 6: Final answer
    x = 1,347.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.