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Finding the Fourth Proportional to 2,543.68, 3,813.04 and 1,225.96

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Solution

The fourth proportional to 2,543.68, 3,813.04 and 1,225.96 is: 1,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.68 : 3,813.04 = 1,225.96 : x
  2. Step 2: Convert to fraction form
    2,543.68/3,813.04 = 1,225.96/x
  3. Step 3: Cross multiply
    2,543.68x = 3,813.04 × 1,225.96
  4. Step 4: Simplify right side
    2,543.68x = 4,674,634.52
  5. Step 5: Solve for x
    x = 4,674,634.52/2,543.68
  6. Step 6: Final answer
    x = 1,837.74

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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.