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Finding the Fourth Proportional to 2,098.89, 3,148.21 and 782.39

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Solution

The fourth proportional to 2,098.89, 3,148.21 and 782.39 is: 1,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.89 : 3,148.21 = 782.39 : x
  2. Step 2: Convert to fraction form
    2,098.89/3,148.21 = 782.39/x
  3. Step 3: Cross multiply
    2,098.89x = 3,148.21 × 782.39
  4. Step 4: Simplify right side
    2,098.89x = 2,463,125.06
  5. Step 5: Solve for x
    x = 2,463,125.06/2,098.89
  6. Step 6: Final answer
    x = 1,173.54

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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.