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Finding the Fourth Proportional to 2,100.42, 3,169.61 and 2,084.22

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Solution

The fourth proportional to 2,100.42, 3,169.61 and 2,084.22 is: 3,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.42 : 3,169.61 = 2,084.22 : x
  2. Step 2: Convert to fraction form
    2,100.42/3,169.61 = 2,084.22/x
  3. Step 3: Cross multiply
    2,100.42x = 3,169.61 × 2,084.22
  4. Step 4: Simplify right side
    2,100.42x = 6,606,154.13
  5. Step 5: Solve for x
    x = 6,606,154.13/2,100.42
  6. Step 6: Final answer
    x = 3,145.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.