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Finding the Fourth Proportional to 2,649.90, 3,976.47 and 1,090.65

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Solution

The fourth proportional to 2,649.90, 3,976.47 and 1,090.65 is: 1,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.90 : 3,976.47 = 1,090.65 : x
  2. Step 2: Convert to fraction form
    2,649.90/3,976.47 = 1,090.65/x
  3. Step 3: Cross multiply
    2,649.90x = 3,976.47 × 1,090.65
  4. Step 4: Simplify right side
    2,649.90x = 4,336,937.01
  5. Step 5: Solve for x
    x = 4,336,937.01/2,649.90
  6. Step 6: Final answer
    x = 1,636.64

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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.