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Finding the Fourth Proportional to 2,968.16, 4,452.16 and 1,428.80

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Solution

The fourth proportional to 2,968.16, 4,452.16 and 1,428.80 is: 2,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.16 : 4,452.16 = 1,428.80 : x
  2. Step 2: Convert to fraction form
    2,968.16/4,452.16 = 1,428.80/x
  3. Step 3: Cross multiply
    2,968.16x = 4,452.16 × 1,428.80
  4. Step 4: Simplify right side
    2,968.16x = 6,361,246.21
  5. Step 5: Solve for x
    x = 6,361,246.21/2,968.16
  6. Step 6: Final answer
    x = 2,143.16

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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.