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Finding the Fourth Proportional to 3,076.94, 4,615.43 and 1,228.21

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Solution

The fourth proportional to 3,076.94, 4,615.43 and 1,228.21 is: 1,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.94 : 4,615.43 = 1,228.21 : x
  2. Step 2: Convert to fraction form
    3,076.94/4,615.43 = 1,228.21/x
  3. Step 3: Cross multiply
    3,076.94x = 4,615.43 × 1,228.21
  4. Step 4: Simplify right side
    3,076.94x = 5,668,699.60
  5. Step 5: Solve for x
    x = 5,668,699.60/3,076.94
  6. Step 6: Final answer
    x = 1,842.32

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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.