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Finding the Fourth Proportional to 2,284.02, 3,427.97 and 898.32

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Solution

The fourth proportional to 2,284.02, 3,427.97 and 898.32 is: 1,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.02 : 3,427.97 = 898.32 : x
  2. Step 2: Convert to fraction form
    2,284.02/3,427.97 = 898.32/x
  3. Step 3: Cross multiply
    2,284.02x = 3,427.97 × 898.32
  4. Step 4: Simplify right side
    2,284.02x = 3,079,409.52
  5. Step 5: Solve for x
    x = 3,079,409.52/2,284.02
  6. Step 6: Final answer
    x = 1,348.24

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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.