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Finding the Fourth Proportional to 2,820.21, 3,891 and 1,641.05

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Solution

The fourth proportional to 2,820.21, 3,891 and 1,641.05 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.21 : 3,891 = 1,641.05 : x
  2. Step 2: Convert to fraction form
    2,820.21/3,891 = 1,641.05/x
  3. Step 3: Cross multiply
    2,820.21x = 3,891 × 1,641.05
  4. Step 4: Simplify right side
    2,820.21x = 6,385,325.55
  5. Step 5: Solve for x
    x = 6,385,325.55/2,820.21
  6. Step 6: Final answer
    x = 2,264.13

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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.