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Finding the Fourth Proportional to 2,325.96, 3,208.60 and 1,765.50

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Solution

The fourth proportional to 2,325.96, 3,208.60 and 1,765.50 is: 2,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.96 : 3,208.60 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    2,325.96/3,208.60 = 1,765.50/x
  3. Step 3: Cross multiply
    2,325.96x = 3,208.60 × 1,765.50
  4. Step 4: Simplify right side
    2,325.96x = 5,664,783.30
  5. Step 5: Solve for x
    x = 5,664,783.30/2,325.96
  6. Step 6: Final answer
    x = 2,435.46

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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.