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Finding the Fourth Proportional to 2,098.81, 3,147.45 and 1,512.06

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Solution

The fourth proportional to 2,098.81, 3,147.45 and 1,512.06 is: 2,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.81 : 3,147.45 = 1,512.06 : x
  2. Step 2: Convert to fraction form
    2,098.81/3,147.45 = 1,512.06/x
  3. Step 3: Cross multiply
    2,098.81x = 3,147.45 × 1,512.06
  4. Step 4: Simplify right side
    2,098.81x = 4,759,133.25
  5. Step 5: Solve for x
    x = 4,759,133.25/2,098.81
  6. Step 6: Final answer
    x = 2,267.54

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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.