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Finding the Fourth Proportional to 2,057.40, 3,085.43 and 670.37

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Solution

The fourth proportional to 2,057.40, 3,085.43 and 670.37 is: 1,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.40 : 3,085.43 = 670.37 : x
  2. Step 2: Convert to fraction form
    2,057.40/3,085.43 = 670.37/x
  3. Step 3: Cross multiply
    2,057.40x = 3,085.43 × 670.37
  4. Step 4: Simplify right side
    2,057.40x = 2,068,360.93
  5. Step 5: Solve for x
    x = 2,068,360.93/2,057.40
  6. Step 6: Final answer
    x = 1,005.33

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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.