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Finding the Fourth Proportional to 3,122.50, 4,683.84 and 931.18

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Solution

The fourth proportional to 3,122.50, 4,683.84 and 931.18 is: 1,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.50 : 4,683.84 = 931.18 : x
  2. Step 2: Convert to fraction form
    3,122.50/4,683.84 = 931.18/x
  3. Step 3: Cross multiply
    3,122.50x = 4,683.84 × 931.18
  4. Step 4: Simplify right side
    3,122.50x = 4,361,498.13
  5. Step 5: Solve for x
    x = 4,361,498.13/3,122.50
  6. Step 6: Final answer
    x = 1,396.80

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Why These Related Problems?

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