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Finding the Fourth Proportional to 2,412.63, 3,326.22 and 2,166.62

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Solution

The fourth proportional to 2,412.63, 3,326.22 and 2,166.62 is: 2,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.63 : 3,326.22 = 2,166.62 : x
  2. Step 2: Convert to fraction form
    2,412.63/3,326.22 = 2,166.62/x
  3. Step 3: Cross multiply
    2,412.63x = 3,326.22 × 2,166.62
  4. Step 4: Simplify right side
    2,412.63x = 7,206,638.15
  5. Step 5: Solve for x
    x = 7,206,638.15/2,412.63
  6. Step 6: Final answer
    x = 2,987.05

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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.