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Finding the Fourth Proportional to 2,653.18, 3,979.72 and 898.57

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Solution

The fourth proportional to 2,653.18, 3,979.72 and 898.57 is: 1,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.18 : 3,979.72 = 898.57 : x
  2. Step 2: Convert to fraction form
    2,653.18/3,979.72 = 898.57/x
  3. Step 3: Cross multiply
    2,653.18x = 3,979.72 × 898.57
  4. Step 4: Simplify right side
    2,653.18x = 3,576,057.00
  5. Step 5: Solve for x
    x = 3,576,057.00/2,653.18
  6. Step 6: Final answer
    x = 1,347.84

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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.