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Finding the Fourth Proportional to 2,614.37, 3,922.70 and 970.56

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Solution

The fourth proportional to 2,614.37, 3,922.70 and 970.56 is: 1,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.37 : 3,922.70 = 970.56 : x
  2. Step 2: Convert to fraction form
    2,614.37/3,922.70 = 970.56/x
  3. Step 3: Cross multiply
    2,614.37x = 3,922.70 × 970.56
  4. Step 4: Simplify right side
    2,614.37x = 3,807,215.71
  5. Step 5: Solve for x
    x = 3,807,215.71/2,614.37
  6. Step 6: Final answer
    x = 1,456.27

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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.