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Finding the Fourth Proportional to 2,968.30, 4,452.45 and 2,584.30

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Solution

The fourth proportional to 2,968.30, 4,452.45 and 2,584.30 is: 3,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.30 : 4,452.45 = 2,584.30 : x
  2. Step 2: Convert to fraction form
    2,968.30/4,452.45 = 2,584.30/x
  3. Step 3: Cross multiply
    2,968.30x = 4,452.45 × 2,584.30
  4. Step 4: Simplify right side
    2,968.30x = 11,506,466.54
  5. Step 5: Solve for x
    x = 11,506,466.54/2,968.30
  6. Step 6: Final answer
    x = 3,876.45

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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.