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Finding the Fourth Proportional to 3,068.06, 4,233.92 and 1,670.82

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Solution

The fourth proportional to 3,068.06, 4,233.92 and 1,670.82 is: 2,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.06 : 4,233.92 = 1,670.82 : x
  2. Step 2: Convert to fraction form
    3,068.06/4,233.92 = 1,670.82/x
  3. Step 3: Cross multiply
    3,068.06x = 4,233.92 × 1,670.82
  4. Step 4: Simplify right side
    3,068.06x = 7,074,118.21
  5. Step 5: Solve for x
    x = 7,074,118.21/3,068.06
  6. Step 6: Final answer
    x = 2,305.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.