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Finding the Fourth Proportional to 2,066.11, 3,099.35 and 585.38

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Solution

The fourth proportional to 2,066.11, 3,099.35 and 585.38 is: 878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.11 : 3,099.35 = 585.38 : x
  2. Step 2: Convert to fraction form
    2,066.11/3,099.35 = 585.38/x
  3. Step 3: Cross multiply
    2,066.11x = 3,099.35 × 585.38
  4. Step 4: Simplify right side
    2,066.11x = 1,814,283.47
  5. Step 5: Solve for x
    x = 1,814,283.47/2,066.11
  6. Step 6: Final answer
    x = 878.12

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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.