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Finding the Fourth Proportional to 2,736.74, 4,105.84 and 981.92

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Solution

The fourth proportional to 2,736.74, 4,105.84 and 981.92 is: 1,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.74 : 4,105.84 = 981.92 : x
  2. Step 2: Convert to fraction form
    2,736.74/4,105.84 = 981.92/x
  3. Step 3: Cross multiply
    2,736.74x = 4,105.84 × 981.92
  4. Step 4: Simplify right side
    2,736.74x = 4,031,606.41
  5. Step 5: Solve for x
    x = 4,031,606.41/2,736.74
  6. Step 6: Final answer
    x = 1,473.14

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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.