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Finding the Fourth Proportional to 2,313.11, 3,470.01 and 852.14

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Solution

The fourth proportional to 2,313.11, 3,470.01 and 852.14 is: 1,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.11 : 3,470.01 = 852.14 : x
  2. Step 2: Convert to fraction form
    2,313.11/3,470.01 = 852.14/x
  3. Step 3: Cross multiply
    2,313.11x = 3,470.01 × 852.14
  4. Step 4: Simplify right side
    2,313.11x = 2,956,939.80
  5. Step 5: Solve for x
    x = 2,956,939.80/2,313.11
  6. Step 6: Final answer
    x = 1,278.34

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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.