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Finding the Fourth Proportional to 4,466.68, 6,698.05 and 1,967.81

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Solution

The fourth proportional to 4,466.68, 6,698.05 and 1,967.81 is: 2,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.68 : 6,698.05 = 1,967.81 : x
  2. Step 2: Convert to fraction form
    4,466.68/6,698.05 = 1,967.81/x
  3. Step 3: Cross multiply
    4,466.68x = 6,698.05 × 1,967.81
  4. Step 4: Simplify right side
    4,466.68x = 13,180,451.36
  5. Step 5: Solve for x
    x = 13,180,451.36/4,466.68
  6. Step 6: Final answer
    x = 2,950.84

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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.