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Finding the Fourth Proportional to 1,685.35, 2,325.74 and 939.25

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Solution

The fourth proportional to 1,685.35, 2,325.74 and 939.25 is: 1,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.35 : 2,325.74 = 939.25 : x
  2. Step 2: Convert to fraction form
    1,685.35/2,325.74 = 939.25/x
  3. Step 3: Cross multiply
    1,685.35x = 2,325.74 × 939.25
  4. Step 4: Simplify right side
    1,685.35x = 2,184,446.60
  5. Step 5: Solve for x
    x = 2,184,446.60/1,685.35
  6. Step 6: Final answer
    x = 1,296.14

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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.