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Finding the Fourth Proportional to 3,142.88, 4,716.47 and 1,090.88

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Solution

The fourth proportional to 3,142.88, 4,716.47 and 1,090.88 is: 1,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.88 : 4,716.47 = 1,090.88 : x
  2. Step 2: Convert to fraction form
    3,142.88/4,716.47 = 1,090.88/x
  3. Step 3: Cross multiply
    3,142.88x = 4,716.47 × 1,090.88
  4. Step 4: Simplify right side
    3,142.88x = 5,145,081.94
  5. Step 5: Solve for x
    x = 5,145,081.94/3,142.88
  6. Step 6: Final answer
    x = 1,637.06

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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.