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Finding the Fourth Proportional to 2,219.90, 3,328.12 and 1,438.25

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Solution

The fourth proportional to 2,219.90, 3,328.12 and 1,438.25 is: 2,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.90 : 3,328.12 = 1,438.25 : x
  2. Step 2: Convert to fraction form
    2,219.90/3,328.12 = 1,438.25/x
  3. Step 3: Cross multiply
    2,219.90x = 3,328.12 × 1,438.25
  4. Step 4: Simplify right side
    2,219.90x = 4,786,653.75
  5. Step 5: Solve for x
    x = 4,786,653.75/2,219.90
  6. Step 6: Final answer
    x = 2,156.25

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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.