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Finding the Fourth Proportional to 1,631.88, 2,447.82 and 939.60

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Solution

The fourth proportional to 1,631.88, 2,447.82 and 939.60 is: 1,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.88 : 2,447.82 = 939.60 : x
  2. Step 2: Convert to fraction form
    1,631.88/2,447.82 = 939.60/x
  3. Step 3: Cross multiply
    1,631.88x = 2,447.82 × 939.60
  4. Step 4: Simplify right side
    1,631.88x = 2,299,971.67
  5. Step 5: Solve for x
    x = 2,299,971.67/1,631.88
  6. Step 6: Final answer
    x = 1,409.40

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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.