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Finding the Fourth Proportional to 2,653.26, 3,979.21 and 898.22

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Solution

The fourth proportional to 2,653.26, 3,979.21 and 898.22 is: 1,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.26 : 3,979.21 = 898.22 : x
  2. Step 2: Convert to fraction form
    2,653.26/3,979.21 = 898.22/x
  3. Step 3: Cross multiply
    2,653.26x = 3,979.21 × 898.22
  4. Step 4: Simplify right side
    2,653.26x = 3,574,206.01
  5. Step 5: Solve for x
    x = 3,574,206.01/2,653.26
  6. Step 6: Final answer
    x = 1,347.10

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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.