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Finding the Fourth Proportional to 2,245, 3,098.10 and 1,313.56

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Solution

The fourth proportional to 2,245, 3,098.10 and 1,313.56 is: 1,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245 : 3,098.10 = 1,313.56 : x
  2. Step 2: Convert to fraction form
    2,245/3,098.10 = 1,313.56/x
  3. Step 3: Cross multiply
    2,245x = 3,098.10 × 1,313.56
  4. Step 4: Simplify right side
    2,245x = 4,069,540.24
  5. Step 5: Solve for x
    x = 4,069,540.24/2,245
  6. Step 6: Final answer
    x = 1,812.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.