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Finding the Fourth Proportional to 2,219.70, 3,064.49 and 1,973.64

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Solution

The fourth proportional to 2,219.70, 3,064.49 and 1,973.64 is: 2,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.70 : 3,064.49 = 1,973.64 : x
  2. Step 2: Convert to fraction form
    2,219.70/3,064.49 = 1,973.64/x
  3. Step 3: Cross multiply
    2,219.70x = 3,064.49 × 1,973.64
  4. Step 4: Simplify right side
    2,219.70x = 6,048,190.18
  5. Step 5: Solve for x
    x = 6,048,190.18/2,219.70
  6. Step 6: Final answer
    x = 2,724.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.