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Finding the Fourth Proportional to 2,194.58, 3,035.31 and 2,157.68

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Solution

The fourth proportional to 2,194.58, 3,035.31 and 2,157.68 is: 2,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.58 : 3,035.31 = 2,157.68 : x
  2. Step 2: Convert to fraction form
    2,194.58/3,035.31 = 2,157.68/x
  3. Step 3: Cross multiply
    2,194.58x = 3,035.31 × 2,157.68
  4. Step 4: Simplify right side
    2,194.58x = 6,549,227.68
  5. Step 5: Solve for x
    x = 6,549,227.68/2,194.58
  6. Step 6: Final answer
    x = 2,984.27

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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.