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Finding the Fourth Proportional to 2,066.14, 3,100.47 and 911.89

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Solution

The fourth proportional to 2,066.14, 3,100.47 and 911.89 is: 1,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.14 : 3,100.47 = 911.89 : x
  2. Step 2: Convert to fraction form
    2,066.14/3,100.47 = 911.89/x
  3. Step 3: Cross multiply
    2,066.14x = 3,100.47 × 911.89
  4. Step 4: Simplify right side
    2,066.14x = 2,827,287.59
  5. Step 5: Solve for x
    x = 2,827,287.59/2,066.14
  6. Step 6: Final answer
    x = 1,368.39

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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.