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Finding the Fourth Proportional to 1,685.89, 2,326.50 and 939.84

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Solution

The fourth proportional to 1,685.89, 2,326.50 and 939.84 is: 1,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.89 : 2,326.50 = 939.84 : x
  2. Step 2: Convert to fraction form
    1,685.89/2,326.50 = 939.84/x
  3. Step 3: Cross multiply
    1,685.89x = 2,326.50 × 939.84
  4. Step 4: Simplify right side
    1,685.89x = 2,186,537.76
  5. Step 5: Solve for x
    x = 2,186,537.76/1,685.89
  6. Step 6: Final answer
    x = 1,296.96

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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.