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Finding the Fourth Proportional to 1,983.72, 2,971.60 and 944.73

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Solution

The fourth proportional to 1,983.72, 2,971.60 and 944.73 is: 1,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.72 : 2,971.60 = 944.73 : x
  2. Step 2: Convert to fraction form
    1,983.72/2,971.60 = 944.73/x
  3. Step 3: Cross multiply
    1,983.72x = 2,971.60 × 944.73
  4. Step 4: Simplify right side
    1,983.72x = 2,807,359.67
  5. Step 5: Solve for x
    x = 2,807,359.67/1,983.72
  6. Step 6: Final answer
    x = 1,415.20

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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.