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Finding the Fourth Proportional to 2,066.16, 3,099.34 and 678.94

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Solution

The fourth proportional to 2,066.16, 3,099.34 and 678.94 is: 1,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.16 : 3,099.34 = 678.94 : x
  2. Step 2: Convert to fraction form
    2,066.16/3,099.34 = 678.94/x
  3. Step 3: Cross multiply
    2,066.16x = 3,099.34 × 678.94
  4. Step 4: Simplify right side
    2,066.16x = 2,104,265.90
  5. Step 5: Solve for x
    x = 2,104,265.90/2,066.16
  6. Step 6: Final answer
    x = 1,018.44

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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.