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Finding the Fourth Proportional to 2,331.96, 3,497.94 and 963

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Solution

The fourth proportional to 2,331.96, 3,497.94 and 963 is: 1,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.96 : 3,497.94 = 963 : x
  2. Step 2: Convert to fraction form
    2,331.96/3,497.94 = 963/x
  3. Step 3: Cross multiply
    2,331.96x = 3,497.94 × 963
  4. Step 4: Simplify right side
    2,331.96x = 3,368,516.22
  5. Step 5: Solve for x
    x = 3,368,516.22/2,331.96
  6. Step 6: Final answer
    x = 1,444.50

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Double scale
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Similar ratio
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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.