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Finding the Fourth Proportional to 3,289.48, 4,932.86 and 1,340.36

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Solution

The fourth proportional to 3,289.48, 4,932.86 and 1,340.36 is: 2,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.48 : 4,932.86 = 1,340.36 : x
  2. Step 2: Convert to fraction form
    3,289.48/4,932.86 = 1,340.36/x
  3. Step 3: Cross multiply
    3,289.48x = 4,932.86 × 1,340.36
  4. Step 4: Simplify right side
    3,289.48x = 6,611,808.23
  5. Step 5: Solve for x
    x = 6,611,808.23/3,289.48
  6. Step 6: Final answer
    x = 2,009.99

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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.