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Finding the Fourth Proportional to 3,164.64, 4,366.94 and 1,820.18

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Solution

The fourth proportional to 3,164.64, 4,366.94 and 1,820.18 is: 2,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.64 : 4,366.94 = 1,820.18 : x
  2. Step 2: Convert to fraction form
    3,164.64/4,366.94 = 1,820.18/x
  3. Step 3: Cross multiply
    3,164.64x = 4,366.94 × 1,820.18
  4. Step 4: Simplify right side
    3,164.64x = 7,948,609.12
  5. Step 5: Solve for x
    x = 7,948,609.12/3,164.64
  6. Step 6: Final answer
    x = 2,511.70

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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.