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Finding the Fourth Proportional to 2,324.99, 3,486.32 and 844.16

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Solution

The fourth proportional to 2,324.99, 3,486.32 and 844.16 is: 1,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.99 : 3,486.32 = 844.16 : x
  2. Step 2: Convert to fraction form
    2,324.99/3,486.32 = 844.16/x
  3. Step 3: Cross multiply
    2,324.99x = 3,486.32 × 844.16
  4. Step 4: Simplify right side
    2,324.99x = 2,942,990.24
  5. Step 5: Solve for x
    x = 2,942,990.24/2,324.99
  6. Step 6: Final answer
    x = 1,265.81

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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.