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Finding the Fourth Proportional to 3,122.82, 4,683.58 and 931.05

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Solution

The fourth proportional to 3,122.82, 4,683.58 and 931.05 is: 1,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.82 : 4,683.58 = 931.05 : x
  2. Step 2: Convert to fraction form
    3,122.82/4,683.58 = 931.05/x
  3. Step 3: Cross multiply
    3,122.82x = 4,683.58 × 931.05
  4. Step 4: Simplify right side
    3,122.82x = 4,360,644.83
  5. Step 5: Solve for x
    x = 4,360,644.83/3,122.82
  6. Step 6: Final answer
    x = 1,396.38

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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.