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Finding the Fourth Proportional to 2,795.03, 4,192.08 and 820.19

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Solution

The fourth proportional to 2,795.03, 4,192.08 and 820.19 is: 1,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.03 : 4,192.08 = 820.19 : x
  2. Step 2: Convert to fraction form
    2,795.03/4,192.08 = 820.19/x
  3. Step 3: Cross multiply
    2,795.03x = 4,192.08 × 820.19
  4. Step 4: Simplify right side
    2,795.03x = 3,438,302.10
  5. Step 5: Solve for x
    x = 3,438,302.10/2,795.03
  6. Step 6: Final answer
    x = 1,230.15

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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.