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Finding the Fourth Proportional to 2,794.74, 4,190.11 and 1,313.13

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Solution

The fourth proportional to 2,794.74, 4,190.11 and 1,313.13 is: 1,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.74 : 4,190.11 = 1,313.13 : x
  2. Step 2: Convert to fraction form
    2,794.74/4,190.11 = 1,313.13/x
  3. Step 3: Cross multiply
    2,794.74x = 4,190.11 × 1,313.13
  4. Step 4: Simplify right side
    2,794.74x = 5,502,159.14
  5. Step 5: Solve for x
    x = 5,502,159.14/2,794.74
  6. Step 6: Final answer
    x = 1,968.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.