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Finding the Fourth Proportional to 2,219.09, 3,328.20 and 738.08

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Solution

The fourth proportional to 2,219.09, 3,328.20 and 738.08 is: 1,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.09 : 3,328.20 = 738.08 : x
  2. Step 2: Convert to fraction form
    2,219.09/3,328.20 = 738.08/x
  3. Step 3: Cross multiply
    2,219.09x = 3,328.20 × 738.08
  4. Step 4: Simplify right side
    2,219.09x = 2,456,477.86
  5. Step 5: Solve for x
    x = 2,456,477.86/2,219.09
  6. Step 6: Final answer
    x = 1,106.98

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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.