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Finding the Fourth Proportional to 2,655.60, 3,984.03 and 806.60

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Solution

The fourth proportional to 2,655.60, 3,984.03 and 806.60 is: 1,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.60 : 3,984.03 = 806.60 : x
  2. Step 2: Convert to fraction form
    2,655.60/3,984.03 = 806.60/x
  3. Step 3: Cross multiply
    2,655.60x = 3,984.03 × 806.60
  4. Step 4: Simplify right side
    2,655.60x = 3,213,518.60
  5. Step 5: Solve for x
    x = 3,213,518.60/2,655.60
  6. Step 6: Final answer
    x = 1,210.09

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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.