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Finding the Fourth Proportional to 2,094.18, 3,136.49 and 999.31

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Solution

The fourth proportional to 2,094.18, 3,136.49 and 999.31 is: 1,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.18 : 3,136.49 = 999.31 : x
  2. Step 2: Convert to fraction form
    2,094.18/3,136.49 = 999.31/x
  3. Step 3: Cross multiply
    2,094.18x = 3,136.49 × 999.31
  4. Step 4: Simplify right side
    2,094.18x = 3,134,330.13
  5. Step 5: Solve for x
    x = 3,134,330.13/2,094.18
  6. Step 6: Final answer
    x = 1,496.69

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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.