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Finding the Fourth Proportional to 2,194.44, 3,291.10 and 655.08

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Solution

The fourth proportional to 2,194.44, 3,291.10 and 655.08 is: 982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.44 : 3,291.10 = 655.08 : x
  2. Step 2: Convert to fraction form
    2,194.44/3,291.10 = 655.08/x
  3. Step 3: Cross multiply
    2,194.44x = 3,291.10 × 655.08
  4. Step 4: Simplify right side
    2,194.44x = 2,155,933.79
  5. Step 5: Solve for x
    x = 2,155,933.79/2,194.44
  6. Step 6: Final answer
    x = 982.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.