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Finding the Fourth Proportional to 2,152.68, 3,229.02 and 837.05

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Solution

The fourth proportional to 2,152.68, 3,229.02 and 837.05 is: 1,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.68 : 3,229.02 = 837.05 : x
  2. Step 2: Convert to fraction form
    2,152.68/3,229.02 = 837.05/x
  3. Step 3: Cross multiply
    2,152.68x = 3,229.02 × 837.05
  4. Step 4: Simplify right side
    2,152.68x = 2,702,835.05
  5. Step 5: Solve for x
    x = 2,702,835.05/2,152.68
  6. Step 6: Final answer
    x = 1,255.57

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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.