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Finding the Fourth Proportional to 2,114.74, 3,171.74 and 816.22

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Solution

The fourth proportional to 2,114.74, 3,171.74 and 816.22 is: 1,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.74 : 3,171.74 = 816.22 : x
  2. Step 2: Convert to fraction form
    2,114.74/3,171.74 = 816.22/x
  3. Step 3: Cross multiply
    2,114.74x = 3,171.74 × 816.22
  4. Step 4: Simplify right side
    2,114.74x = 2,588,837.62
  5. Step 5: Solve for x
    x = 2,588,837.62/2,114.74
  6. Step 6: Final answer
    x = 1,224.19

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1.5x scale

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.