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Finding the Fourth Proportional to 2,066.15, 3,099.67 and 605.18

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Solution

The fourth proportional to 2,066.15, 3,099.67 and 605.18 is: 907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.15 : 3,099.67 = 605.18 : x
  2. Step 2: Convert to fraction form
    2,066.15/3,099.67 = 605.18/x
  3. Step 3: Cross multiply
    2,066.15x = 3,099.67 × 605.18
  4. Step 4: Simplify right side
    2,066.15x = 1,875,864.53
  5. Step 5: Solve for x
    x = 1,875,864.53/2,066.15
  6. Step 6: Final answer
    x = 907.90

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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.