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Finding the Fourth Proportional to 2,640.30, 3,957.71 and 883.98

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Solution

The fourth proportional to 2,640.30, 3,957.71 and 883.98 is: 1,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.30 : 3,957.71 = 883.98 : x
  2. Step 2: Convert to fraction form
    2,640.30/3,957.71 = 883.98/x
  3. Step 3: Cross multiply
    2,640.30x = 3,957.71 × 883.98
  4. Step 4: Simplify right side
    2,640.30x = 3,498,532.07
  5. Step 5: Solve for x
    x = 3,498,532.07/2,640.30
  6. Step 6: Final answer
    x = 1,325.05

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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.