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Finding the Fourth Proportional to 3,122.47, 4,683.84 and 931.15

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Solution

The fourth proportional to 3,122.47, 4,683.84 and 931.15 is: 1,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.47 : 4,683.84 = 931.15 : x
  2. Step 2: Convert to fraction form
    3,122.47/4,683.84 = 931.15/x
  3. Step 3: Cross multiply
    3,122.47x = 4,683.84 × 931.15
  4. Step 4: Simplify right side
    3,122.47x = 4,361,357.62
  5. Step 5: Solve for x
    x = 4,361,357.62/3,122.47
  6. Step 6: Final answer
    x = 1,396.77

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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.