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Finding the Fourth Proportional to 2,968.64, 4,452.96 and 2,385.44

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Solution

The fourth proportional to 2,968.64, 4,452.96 and 2,385.44 is: 3,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.64 : 4,452.96 = 2,385.44 : x
  2. Step 2: Convert to fraction form
    2,968.64/4,452.96 = 2,385.44/x
  3. Step 3: Cross multiply
    2,968.64x = 4,452.96 × 2,385.44
  4. Step 4: Simplify right side
    2,968.64x = 10,622,268.90
  5. Step 5: Solve for x
    x = 10,622,268.90/2,968.64
  6. Step 6: Final answer
    x = 3,578.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.