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Finding the Fourth Proportional to 2,066.90, 2,855.94 and 1,628.30

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Solution

The fourth proportional to 2,066.90, 2,855.94 and 1,628.30 is: 2,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.90 : 2,855.94 = 1,628.30 : x
  2. Step 2: Convert to fraction form
    2,066.90/2,855.94 = 1,628.30/x
  3. Step 3: Cross multiply
    2,066.90x = 2,855.94 × 1,628.30
  4. Step 4: Simplify right side
    2,066.90x = 4,650,327.10
  5. Step 5: Solve for x
    x = 4,650,327.10/2,066.90
  6. Step 6: Final answer
    x = 2,249.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.