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Finding the Fourth Proportional to 4,114.80, 6,164.10 and 2,466.45

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Solution

The fourth proportional to 4,114.80, 6,164.10 and 2,466.45 is: 3,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 6,164.10 = 2,466.45 : x
  2. Step 2: Convert to fraction form
    4,114.80/6,164.10 = 2,466.45/x
  3. Step 3: Cross multiply
    4,114.80x = 6,164.10 × 2,466.45
  4. Step 4: Simplify right side
    4,114.80x = 15,203,444.45
  5. Step 5: Solve for x
    x = 15,203,444.45/4,114.80
  6. Step 6: Final answer
    x = 3,694.82

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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.