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Finding the Fourth Proportional to 2,057.30, 3,085.49 and 670.38

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Solution

The fourth proportional to 2,057.30, 3,085.49 and 670.38 is: 1,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.30 : 3,085.49 = 670.38 : x
  2. Step 2: Convert to fraction form
    2,057.30/3,085.49 = 670.38/x
  3. Step 3: Cross multiply
    2,057.30x = 3,085.49 × 670.38
  4. Step 4: Simplify right side
    2,057.30x = 2,068,440.89
  5. Step 5: Solve for x
    x = 2,068,440.89/2,057.30
  6. Step 6: Final answer
    x = 1,005.42

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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.