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Finding the Fourth Proportional to 1,686.06, 2,326.74 and 939.96

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Solution

The fourth proportional to 1,686.06, 2,326.74 and 939.96 is: 1,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.06 : 2,326.74 = 939.96 : x
  2. Step 2: Convert to fraction form
    1,686.06/2,326.74 = 939.96/x
  3. Step 3: Cross multiply
    1,686.06x = 2,326.74 × 939.96
  4. Step 4: Simplify right side
    1,686.06x = 2,187,042.53
  5. Step 5: Solve for x
    x = 2,187,042.53/1,686.06
  6. Step 6: Final answer
    x = 1,297.13

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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.