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Finding the Fourth Proportional to 2,749.74, 4,123.77 and 994.53

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Solution

The fourth proportional to 2,749.74, 4,123.77 and 994.53 is: 1,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.74 : 4,123.77 = 994.53 : x
  2. Step 2: Convert to fraction form
    2,749.74/4,123.77 = 994.53/x
  3. Step 3: Cross multiply
    2,749.74x = 4,123.77 × 994.53
  4. Step 4: Simplify right side
    2,749.74x = 4,101,212.98
  5. Step 5: Solve for x
    x = 4,101,212.98/2,749.74
  6. Step 6: Final answer
    x = 1,491.49

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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.