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Finding the Fourth Proportional to 3,074.99, 4,608.76 and 1,294.47

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Solution

The fourth proportional to 3,074.99, 4,608.76 and 1,294.47 is: 1,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.99 : 4,608.76 = 1,294.47 : x
  2. Step 2: Convert to fraction form
    3,074.99/4,608.76 = 1,294.47/x
  3. Step 3: Cross multiply
    3,074.99x = 4,608.76 × 1,294.47
  4. Step 4: Simplify right side
    3,074.99x = 5,965,901.56
  5. Step 5: Solve for x
    x = 5,965,901.56/3,074.99
  6. Step 6: Final answer
    x = 1,940.14

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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.