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Finding the Fourth Proportional to 1,685.40, 2,325.57 and 939.20

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Solution

The fourth proportional to 1,685.40, 2,325.57 and 939.20 is: 1,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.40 : 2,325.57 = 939.20 : x
  2. Step 2: Convert to fraction form
    1,685.40/2,325.57 = 939.20/x
  3. Step 3: Cross multiply
    1,685.40x = 2,325.57 × 939.20
  4. Step 4: Simplify right side
    1,685.40x = 2,184,163.72
  5. Step 5: Solve for x
    x = 2,184,163.72/1,685.40
  6. Step 6: Final answer
    x = 1,295.93

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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.