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Finding the Fourth Proportional to 2,098.92, 3,148.44 and 1,232.64

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Solution

The fourth proportional to 2,098.92, 3,148.44 and 1,232.64 is: 1,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.92 : 3,148.44 = 1,232.64 : x
  2. Step 2: Convert to fraction form
    2,098.92/3,148.44 = 1,232.64/x
  3. Step 3: Cross multiply
    2,098.92x = 3,148.44 × 1,232.64
  4. Step 4: Simplify right side
    2,098.92x = 3,880,893.08
  5. Step 5: Solve for x
    x = 3,880,893.08/2,098.92
  6. Step 6: Final answer
    x = 1,849.00

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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.