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Finding the Fourth Proportional to 2,219.63, 3,076.04 and 2,188.31

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Solution

The fourth proportional to 2,219.63, 3,076.04 and 2,188.31 is: 3,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.63 : 3,076.04 = 2,188.31 : x
  2. Step 2: Convert to fraction form
    2,219.63/3,076.04 = 2,188.31/x
  3. Step 3: Cross multiply
    2,219.63x = 3,076.04 × 2,188.31
  4. Step 4: Simplify right side
    2,219.63x = 6,731,342.25
  5. Step 5: Solve for x
    x = 6,731,342.25/2,219.63
  6. Step 6: Final answer
    x = 3,032.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.