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Finding the Fourth Proportional to 1,313.39, 1,970.08 and 1,233.20

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Solution

The fourth proportional to 1,313.39, 1,970.08 and 1,233.20 is: 1,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.39 : 1,970.08 = 1,233.20 : x
  2. Step 2: Convert to fraction form
    1,313.39/1,970.08 = 1,233.20/x
  3. Step 3: Cross multiply
    1,313.39x = 1,970.08 × 1,233.20
  4. Step 4: Simplify right side
    1,313.39x = 2,429,489.72
  5. Step 5: Solve for x
    x = 2,429,489.72/1,313.39
  6. Step 6: Final answer
    x = 1,849.79

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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.