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Finding the Fourth Proportional to 2,066.74, 3,097.18 and 1,142.71

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Solution

The fourth proportional to 2,066.74, 3,097.18 and 1,142.71 is: 1,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.74 : 3,097.18 = 1,142.71 : x
  2. Step 2: Convert to fraction form
    2,066.74/3,097.18 = 1,142.71/x
  3. Step 3: Cross multiply
    2,066.74x = 3,097.18 × 1,142.71
  4. Step 4: Simplify right side
    2,066.74x = 3,539,178.56
  5. Step 5: Solve for x
    x = 3,539,178.56/2,066.74
  6. Step 6: Final answer
    x = 1,712.44

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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.