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Finding the Fourth Proportional to 3,466.94, 4,783.82 and 2,141.08

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Solution

The fourth proportional to 3,466.94, 4,783.82 and 2,141.08 is: 2,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.94 : 4,783.82 = 2,141.08 : x
  2. Step 2: Convert to fraction form
    3,466.94/4,783.82 = 2,141.08/x
  3. Step 3: Cross multiply
    3,466.94x = 4,783.82 × 2,141.08
  4. Step 4: Simplify right side
    3,466.94x = 10,242,541.33
  5. Step 5: Solve for x
    x = 10,242,541.33/3,466.94
  6. Step 6: Final answer
    x = 2,954.35

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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.