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Finding the Fourth Proportional to 2,245.05, 3,097.28 and 1,313.01

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Solution

The fourth proportional to 2,245.05, 3,097.28 and 1,313.01 is: 1,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.05 : 3,097.28 = 1,313.01 : x
  2. Step 2: Convert to fraction form
    2,245.05/3,097.28 = 1,313.01/x
  3. Step 3: Cross multiply
    2,245.05x = 3,097.28 × 1,313.01
  4. Step 4: Simplify right side
    2,245.05x = 4,066,753.05
  5. Step 5: Solve for x
    x = 4,066,753.05/2,245.05
  6. Step 6: Final answer
    x = 1,811.43

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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.