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Finding the Fourth Proportional to 2,275.92, 3,406.66 and 1,494.06

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Solution

The fourth proportional to 2,275.92, 3,406.66 and 1,494.06 is: 2,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.92 : 3,406.66 = 1,494.06 : x
  2. Step 2: Convert to fraction form
    2,275.92/3,406.66 = 1,494.06/x
  3. Step 3: Cross multiply
    2,275.92x = 3,406.66 × 1,494.06
  4. Step 4: Simplify right side
    2,275.92x = 5,089,754.44
  5. Step 5: Solve for x
    x = 5,089,754.44/2,275.92
  6. Step 6: Final answer
    x = 2,236.35

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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.