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Finding the Fourth Proportional to 3,111.51, 4,665.03 and 1,466.44

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Solution

The fourth proportional to 3,111.51, 4,665.03 and 1,466.44 is: 2,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.51 : 4,665.03 = 1,466.44 : x
  2. Step 2: Convert to fraction form
    3,111.51/4,665.03 = 1,466.44/x
  3. Step 3: Cross multiply
    3,111.51x = 4,665.03 × 1,466.44
  4. Step 4: Simplify right side
    3,111.51x = 6,840,969.43
  5. Step 5: Solve for x
    x = 6,840,969.43/3,111.51
  6. Step 6: Final answer
    x = 2,198.60

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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.