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Finding the Fourth Proportional to 2,114.86, 3,172.84 and 815.90

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Solution

The fourth proportional to 2,114.86, 3,172.84 and 815.90 is: 1,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.86 : 3,172.84 = 815.90 : x
  2. Step 2: Convert to fraction form
    2,114.86/3,172.84 = 815.90/x
  3. Step 3: Cross multiply
    2,114.86x = 3,172.84 × 815.90
  4. Step 4: Simplify right side
    2,114.86x = 2,588,720.16
  5. Step 5: Solve for x
    x = 2,588,720.16/2,114.86
  6. Step 6: Final answer
    x = 1,224.06

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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.