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Finding the Fourth Proportional to 2,049.44, 3,071.99 and 894.92

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Solution

The fourth proportional to 2,049.44, 3,071.99 and 894.92 is: 1,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.44 : 3,071.99 = 894.92 : x
  2. Step 2: Convert to fraction form
    2,049.44/3,071.99 = 894.92/x
  3. Step 3: Cross multiply
    2,049.44x = 3,071.99 × 894.92
  4. Step 4: Simplify right side
    2,049.44x = 2,749,172.17
  5. Step 5: Solve for x
    x = 2,749,172.17/2,049.44
  6. Step 6: Final answer
    x = 1,341.43

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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.