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Finding the Fourth Proportional to 2,640.50, 3,959.38 and 1,407.58

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Solution

The fourth proportional to 2,640.50, 3,959.38 and 1,407.58 is: 2,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.50 : 3,959.38 = 1,407.58 : x
  2. Step 2: Convert to fraction form
    2,640.50/3,959.38 = 1,407.58/x
  3. Step 3: Cross multiply
    2,640.50x = 3,959.38 × 1,407.58
  4. Step 4: Simplify right side
    2,640.50x = 5,573,135.96
  5. Step 5: Solve for x
    x = 5,573,135.96/2,640.50
  6. Step 6: Final answer
    x = 2,110.64

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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.