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Finding the Fourth Proportional to 2,640.25, 3,959.19 and 1,407.34

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Solution

The fourth proportional to 2,640.25, 3,959.19 and 1,407.34 is: 2,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.25 : 3,959.19 = 1,407.34 : x
  2. Step 2: Convert to fraction form
    2,640.25/3,959.19 = 1,407.34/x
  3. Step 3: Cross multiply
    2,640.25x = 3,959.19 × 1,407.34
  4. Step 4: Simplify right side
    2,640.25x = 5,571,926.45
  5. Step 5: Solve for x
    x = 5,571,926.45/2,640.25
  6. Step 6: Final answer
    x = 2,110.38

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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.