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Finding the Fourth Proportional to 3,122.56, 4,684.78 and 931.36

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Solution

The fourth proportional to 3,122.56, 4,684.78 and 931.36 is: 1,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.56 : 4,684.78 = 931.36 : x
  2. Step 2: Convert to fraction form
    3,122.56/4,684.78 = 931.36/x
  3. Step 3: Cross multiply
    3,122.56x = 4,684.78 × 931.36
  4. Step 4: Simplify right side
    3,122.56x = 4,363,216.70
  5. Step 5: Solve for x
    x = 4,363,216.70/3,122.56
  6. Step 6: Final answer
    x = 1,397.32

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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.