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Finding the Fourth Proportional to 2,313.79, 3,470.06 and 1,080

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Solution

The fourth proportional to 2,313.79, 3,470.06 and 1,080 is: 1,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.79 : 3,470.06 = 1,080 : x
  2. Step 2: Convert to fraction form
    2,313.79/3,470.06 = 1,080/x
  3. Step 3: Cross multiply
    2,313.79x = 3,470.06 × 1,080
  4. Step 4: Simplify right side
    2,313.79x = 3,747,664.80
  5. Step 5: Solve for x
    x = 3,747,664.80/2,313.79
  6. Step 6: Final answer
    x = 1,619.71

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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.