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Finding the Fourth Proportional to 1,354.25, 2,019.94 and 1,313.24

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Solution

The fourth proportional to 1,354.25, 2,019.94 and 1,313.24 is: 1,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.25 : 2,019.94 = 1,313.24 : x
  2. Step 2: Convert to fraction form
    1,354.25/2,019.94 = 1,313.24/x
  3. Step 3: Cross multiply
    1,354.25x = 2,019.94 × 1,313.24
  4. Step 4: Simplify right side
    1,354.25x = 2,652,652.62
  5. Step 5: Solve for x
    x = 2,652,652.62/1,354.25
  6. Step 6: Final answer
    x = 1,958.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.