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Finding the Fourth Proportional to 2,111.79, 2,912.60 and 1,970.31

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Solution

The fourth proportional to 2,111.79, 2,912.60 and 1,970.31 is: 2,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.79 : 2,912.60 = 1,970.31 : x
  2. Step 2: Convert to fraction form
    2,111.79/2,912.60 = 1,970.31/x
  3. Step 3: Cross multiply
    2,111.79x = 2,912.60 × 1,970.31
  4. Step 4: Simplify right side
    2,111.79x = 5,738,724.91
  5. Step 5: Solve for x
    x = 5,738,724.91/2,111.79
  6. Step 6: Final answer
    x = 2,717.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.