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Finding the Fourth Proportional to 1,685.55, 2,325.93 and 939.54

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Solution

The fourth proportional to 1,685.55, 2,325.93 and 939.54 is: 1,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.55 : 2,325.93 = 939.54 : x
  2. Step 2: Convert to fraction form
    1,685.55/2,325.93 = 939.54/x
  3. Step 3: Cross multiply
    1,685.55x = 2,325.93 × 939.54
  4. Step 4: Simplify right side
    1,685.55x = 2,185,304.27
  5. Step 5: Solve for x
    x = 2,185,304.27/1,685.55
  6. Step 6: Final answer
    x = 1,296.49

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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.