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Finding the Fourth Proportional to 1,423.85, 2,136.15 and 937.85

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Solution

The fourth proportional to 1,423.85, 2,136.15 and 937.85 is: 1,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 2,136.15 = 937.85 : x
  2. Step 2: Convert to fraction form
    1,423.85/2,136.15 = 937.85/x
  3. Step 3: Cross multiply
    1,423.85x = 2,136.15 × 937.85
  4. Step 4: Simplify right side
    1,423.85x = 2,003,388.28
  5. Step 5: Solve for x
    x = 2,003,388.28/1,423.85
  6. Step 6: Final answer
    x = 1,407.02

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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.