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Finding the Fourth Proportional to 2,074.09, 3,111.13 and 613.13

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Solution

The fourth proportional to 2,074.09, 3,111.13 and 613.13 is: 919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.09 : 3,111.13 = 613.13 : x
  2. Step 2: Convert to fraction form
    2,074.09/3,111.13 = 613.13/x
  3. Step 3: Cross multiply
    2,074.09x = 3,111.13 × 613.13
  4. Step 4: Simplify right side
    2,074.09x = 1,907,511.58
  5. Step 5: Solve for x
    x = 1,907,511.58/2,074.09
  6. Step 6: Final answer
    x = 919.69

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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.