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Finding the Fourth Proportional to 2,153.23, 3,231.29 and 920.93

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Solution

The fourth proportional to 2,153.23, 3,231.29 and 920.93 is: 1,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.23 : 3,231.29 = 920.93 : x
  2. Step 2: Convert to fraction form
    2,153.23/3,231.29 = 920.93/x
  3. Step 3: Cross multiply
    2,153.23x = 3,231.29 × 920.93
  4. Step 4: Simplify right side
    2,153.23x = 2,975,778.05
  5. Step 5: Solve for x
    x = 2,975,778.05/2,153.23
  6. Step 6: Final answer
    x = 1,382.01

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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.