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Finding the Fourth Proportional to 2,152.27, 3,223.28 and 1,494.80

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Solution

The fourth proportional to 2,152.27, 3,223.28 and 1,494.80 is: 2,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.27 : 3,223.28 = 1,494.80 : x
  2. Step 2: Convert to fraction form
    2,152.27/3,223.28 = 1,494.80/x
  3. Step 3: Cross multiply
    2,152.27x = 3,223.28 × 1,494.80
  4. Step 4: Simplify right side
    2,152.27x = 4,818,165.13
  5. Step 5: Solve for x
    x = 4,818,165.13/2,152.27
  6. Step 6: Final answer
    x = 2,238.64

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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.