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Finding the Fourth Proportional to 2,768.06, 3,820.01 and 1,589.10

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Solution

The fourth proportional to 2,768.06, 3,820.01 and 1,589.10 is: 2,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.06 : 3,820.01 = 1,589.10 : x
  2. Step 2: Convert to fraction form
    2,768.06/3,820.01 = 1,589.10/x
  3. Step 3: Cross multiply
    2,768.06x = 3,820.01 × 1,589.10
  4. Step 4: Simplify right side
    2,768.06x = 6,070,369.95
  5. Step 5: Solve for x
    x = 6,070,369.95/2,768.06
  6. Step 6: Final answer
    x = 2,193.01

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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.