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Finding the Fourth Proportional to 3,232.09, 4,848.09 and 1,842.46

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Solution

The fourth proportional to 3,232.09, 4,848.09 and 1,842.46 is: 2,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.09 : 4,848.09 = 1,842.46 : x
  2. Step 2: Convert to fraction form
    3,232.09/4,848.09 = 1,842.46/x
  3. Step 3: Cross multiply
    3,232.09x = 4,848.09 × 1,842.46
  4. Step 4: Simplify right side
    3,232.09x = 8,932,420.14
  5. Step 5: Solve for x
    x = 8,932,420.14/3,232.09
  6. Step 6: Final answer
    x = 2,763.67

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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.