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Finding the Fourth Proportional to 1,449.45, 2,172.09 and 832.23

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Solution

The fourth proportional to 1,449.45, 2,172.09 and 832.23 is: 1,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.45 : 2,172.09 = 832.23 : x
  2. Step 2: Convert to fraction form
    1,449.45/2,172.09 = 832.23/x
  3. Step 3: Cross multiply
    1,449.45x = 2,172.09 × 832.23
  4. Step 4: Simplify right side
    1,449.45x = 1,807,678.46
  5. Step 5: Solve for x
    x = 1,807,678.46/1,449.45
  6. Step 6: Final answer
    x = 1,247.15

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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.