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Finding the Fourth Proportional to 3,281.74, 4,922.82 and 1,090.66

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Solution

The fourth proportional to 3,281.74, 4,922.82 and 1,090.66 is: 1,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.74 : 4,922.82 = 1,090.66 : x
  2. Step 2: Convert to fraction form
    3,281.74/4,922.82 = 1,090.66/x
  3. Step 3: Cross multiply
    3,281.74x = 4,922.82 × 1,090.66
  4. Step 4: Simplify right side
    3,281.74x = 5,369,122.86
  5. Step 5: Solve for x
    x = 5,369,122.86/3,281.74
  6. Step 6: Final answer
    x = 1,636.06

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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.