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Finding the Fourth Proportional to 4,308.49, 6,464.10 and 1,968.40

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Solution

The fourth proportional to 4,308.49, 6,464.10 and 1,968.40 is: 2,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.49 : 6,464.10 = 1,968.40 : x
  2. Step 2: Convert to fraction form
    4,308.49/6,464.10 = 1,968.40/x
  3. Step 3: Cross multiply
    4,308.49x = 6,464.10 × 1,968.40
  4. Step 4: Simplify right side
    4,308.49x = 12,723,949.90
  5. Step 5: Solve for x
    x = 12,723,949.90/4,308.49
  6. Step 6: Final answer
    x = 2,953.23

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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.