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Finding the Fourth Proportional to 2,057.09, 3,084.84 and 670.10

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Solution

The fourth proportional to 2,057.09, 3,084.84 and 670.10 is: 1,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.09 : 3,084.84 = 670.10 : x
  2. Step 2: Convert to fraction form
    2,057.09/3,084.84 = 670.10/x
  3. Step 3: Cross multiply
    2,057.09x = 3,084.84 × 670.10
  4. Step 4: Simplify right side
    2,057.09x = 2,067,135.86
  5. Step 5: Solve for x
    x = 2,067,135.86/2,057.09
  6. Step 6: Final answer
    x = 1,004.89

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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.