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Finding the Fourth Proportional to 2,148.96, 2,960.70 and 1,912.92

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Solution

The fourth proportional to 2,148.96, 2,960.70 and 1,912.92 is: 2,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.96 : 2,960.70 = 1,912.92 : x
  2. Step 2: Convert to fraction form
    2,148.96/2,960.70 = 1,912.92/x
  3. Step 3: Cross multiply
    2,148.96x = 2,960.70 × 1,912.92
  4. Step 4: Simplify right side
    2,148.96x = 5,663,582.24
  5. Step 5: Solve for x
    x = 5,663,582.24/2,148.96
  6. Step 6: Final answer
    x = 2,635.50

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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.