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Finding the Fourth Proportional to 2,148.09, 3,219.92 and 914.86

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Solution

The fourth proportional to 2,148.09, 3,219.92 and 914.86 is: 1,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.09 : 3,219.92 = 914.86 : x
  2. Step 2: Convert to fraction form
    2,148.09/3,219.92 = 914.86/x
  3. Step 3: Cross multiply
    2,148.09x = 3,219.92 × 914.86
  4. Step 4: Simplify right side
    2,148.09x = 2,945,776.01
  5. Step 5: Solve for x
    x = 2,945,776.01/2,148.09
  6. Step 6: Final answer
    x = 1,371.35

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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.