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Finding the Fourth Proportional to 2,715.05, 3,747.96 and 1,820.21

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Solution

The fourth proportional to 2,715.05, 3,747.96 and 1,820.21 is: 2,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.05 : 3,747.96 = 1,820.21 : x
  2. Step 2: Convert to fraction form
    2,715.05/3,747.96 = 1,820.21/x
  3. Step 3: Cross multiply
    2,715.05x = 3,747.96 × 1,820.21
  4. Step 4: Simplify right side
    2,715.05x = 6,822,055.53
  5. Step 5: Solve for x
    x = 6,822,055.53/2,715.05
  6. Step 6: Final answer
    x = 2,512.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.