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Finding the Fourth Proportional to 2,061.98, 3,093.16 and 675.33

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Solution

The fourth proportional to 2,061.98, 3,093.16 and 675.33 is: 1,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.98 : 3,093.16 = 675.33 : x
  2. Step 2: Convert to fraction form
    2,061.98/3,093.16 = 675.33/x
  3. Step 3: Cross multiply
    2,061.98x = 3,093.16 × 675.33
  4. Step 4: Simplify right side
    2,061.98x = 2,088,903.74
  5. Step 5: Solve for x
    x = 2,088,903.74/2,061.98
  6. Step 6: Final answer
    x = 1,013.06

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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.