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Finding the Fourth Proportional to 2,133.80, 3,202.70 and 1,313.68

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Solution

The fourth proportional to 2,133.80, 3,202.70 and 1,313.68 is: 1,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.80 : 3,202.70 = 1,313.68 : x
  2. Step 2: Convert to fraction form
    2,133.80/3,202.70 = 1,313.68/x
  3. Step 3: Cross multiply
    2,133.80x = 3,202.70 × 1,313.68
  4. Step 4: Simplify right side
    2,133.80x = 4,207,318.21
  5. Step 5: Solve for x
    x = 4,207,318.21/2,133.80
  6. Step 6: Final answer
    x = 1,971.75

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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.