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Finding the Fourth Proportional to 2,968.90, 4,449.29 and 1,118.16

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Solution

The fourth proportional to 2,968.90, 4,449.29 and 1,118.16 is: 1,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.90 : 4,449.29 = 1,118.16 : x
  2. Step 2: Convert to fraction form
    2,968.90/4,449.29 = 1,118.16/x
  3. Step 3: Cross multiply
    2,968.90x = 4,449.29 × 1,118.16
  4. Step 4: Simplify right side
    2,968.90x = 4,975,012.52
  5. Step 5: Solve for x
    x = 4,975,012.52/2,968.90
  6. Step 6: Final answer
    x = 1,675.71

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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.