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Finding the Fourth Proportional to 2,967.42, 4,451.04 and 1,668.90

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Solution

The fourth proportional to 2,967.42, 4,451.04 and 1,668.90 is: 2,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.42 : 4,451.04 = 1,668.90 : x
  2. Step 2: Convert to fraction form
    2,967.42/4,451.04 = 1,668.90/x
  3. Step 3: Cross multiply
    2,967.42x = 4,451.04 × 1,668.90
  4. Step 4: Simplify right side
    2,967.42x = 7,428,340.66
  5. Step 5: Solve for x
    x = 7,428,340.66/2,967.42
  6. Step 6: Final answer
    x = 2,503.30

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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.