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Finding the Fourth Proportional to 2,751.74, 4,126.77 and 996.53

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Solution

The fourth proportional to 2,751.74, 4,126.77 and 996.53 is: 1,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.74 : 4,126.77 = 996.53 : x
  2. Step 2: Convert to fraction form
    2,751.74/4,126.77 = 996.53/x
  3. Step 3: Cross multiply
    2,751.74x = 4,126.77 × 996.53
  4. Step 4: Simplify right side
    2,751.74x = 4,112,450.11
  5. Step 5: Solve for x
    x = 4,112,450.11/2,751.74
  6. Step 6: Final answer
    x = 1,494.49

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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.