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Finding the Fourth Proportional to 2,219.75, 3,323.94 and 2,154.06

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Solution

The fourth proportional to 2,219.75, 3,323.94 and 2,154.06 is: 3,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.75 : 3,323.94 = 2,154.06 : x
  2. Step 2: Convert to fraction form
    2,219.75/3,323.94 = 2,154.06/x
  3. Step 3: Cross multiply
    2,219.75x = 3,323.94 × 2,154.06
  4. Step 4: Simplify right side
    2,219.75x = 7,159,966.20
  5. Step 5: Solve for x
    x = 7,159,966.20/2,219.75
  6. Step 6: Final answer
    x = 3,225.57

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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.