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Finding the Fourth Proportional to 2,066.77, 3,099.89 and 912.25

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Solution

The fourth proportional to 2,066.77, 3,099.89 and 912.25 is: 1,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.77 : 3,099.89 = 912.25 : x
  2. Step 2: Convert to fraction form
    2,066.77/3,099.89 = 912.25/x
  3. Step 3: Cross multiply
    2,066.77x = 3,099.89 × 912.25
  4. Step 4: Simplify right side
    2,066.77x = 2,827,870.09
  5. Step 5: Solve for x
    x = 2,827,870.09/2,066.77
  6. Step 6: Final answer
    x = 1,368.26

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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.