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Finding the Fourth Proportional to 2,057.15, 3,086.25 and 670.58

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Solution

The fourth proportional to 2,057.15, 3,086.25 and 670.58 is: 1,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.15 : 3,086.25 = 670.58 : x
  2. Step 2: Convert to fraction form
    2,057.15/3,086.25 = 670.58/x
  3. Step 3: Cross multiply
    2,057.15x = 3,086.25 × 670.58
  4. Step 4: Simplify right side
    2,057.15x = 2,069,574.92
  5. Step 5: Solve for x
    x = 2,069,574.92/2,057.15
  6. Step 6: Final answer
    x = 1,006.04

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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.