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Finding the Fourth Proportional to 2,331.96, 3,499.02 and 946.25

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Solution

The fourth proportional to 2,331.96, 3,499.02 and 946.25 is: 1,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.96 : 3,499.02 = 946.25 : x
  2. Step 2: Convert to fraction form
    2,331.96/3,499.02 = 946.25/x
  3. Step 3: Cross multiply
    2,331.96x = 3,499.02 × 946.25
  4. Step 4: Simplify right side
    2,331.96x = 3,310,943.30
  5. Step 5: Solve for x
    x = 3,310,943.30/2,331.96
  6. Step 6: Final answer
    x = 1,419.81

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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.