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Finding the Fourth Proportional to 3,122.70, 4,684.67 and 931.38

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Solution

The fourth proportional to 3,122.70, 4,684.67 and 931.38 is: 1,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.70 : 4,684.67 = 931.38 : x
  2. Step 2: Convert to fraction form
    3,122.70/4,684.67 = 931.38/x
  3. Step 3: Cross multiply
    3,122.70x = 4,684.67 × 931.38
  4. Step 4: Simplify right side
    3,122.70x = 4,363,203.29
  5. Step 5: Solve for x
    x = 4,363,203.29/3,122.70
  6. Step 6: Final answer
    x = 1,397.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.