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Finding the Fourth Proportional to 3,100.06, 4,648.55 and 991.41

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Solution

The fourth proportional to 3,100.06, 4,648.55 and 991.41 is: 1,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.06 : 4,648.55 = 991.41 : x
  2. Step 2: Convert to fraction form
    3,100.06/4,648.55 = 991.41/x
  3. Step 3: Cross multiply
    3,100.06x = 4,648.55 × 991.41
  4. Step 4: Simplify right side
    3,100.06x = 4,608,618.96
  5. Step 5: Solve for x
    x = 4,608,618.96/3,100.06
  6. Step 6: Final answer
    x = 1,486.62

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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.