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Finding the Fourth Proportional to 2,270.47, 3,403.65 and 1,099.74

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Solution

The fourth proportional to 2,270.47, 3,403.65 and 1,099.74 is: 1,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.47 : 3,403.65 = 1,099.74 : x
  2. Step 2: Convert to fraction form
    2,270.47/3,403.65 = 1,099.74/x
  3. Step 3: Cross multiply
    2,270.47x = 3,403.65 × 1,099.74
  4. Step 4: Simplify right side
    2,270.47x = 3,743,130.05
  5. Step 5: Solve for x
    x = 3,743,130.05/2,270.47
  6. Step 6: Final answer
    x = 1,648.61

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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.