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Finding the Fourth Proportional to 4,640.30, 6,959.90 and 1,308.80

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Solution

The fourth proportional to 4,640.30, 6,959.90 and 1,308.80 is: 1,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.30 : 6,959.90 = 1,308.80 : x
  2. Step 2: Convert to fraction form
    4,640.30/6,959.90 = 1,308.80/x
  3. Step 3: Cross multiply
    4,640.30x = 6,959.90 × 1,308.80
  4. Step 4: Simplify right side
    4,640.30x = 9,109,117.12
  5. Step 5: Solve for x
    x = 9,109,117.12/4,640.30
  6. Step 6: Final answer
    x = 1,963.04

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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.