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Finding the Fourth Proportional to 2,648.70, 3,972.60 and 1,004.40

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Solution

The fourth proportional to 2,648.70, 3,972.60 and 1,004.40 is: 1,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.70 : 3,972.60 = 1,004.40 : x
  2. Step 2: Convert to fraction form
    2,648.70/3,972.60 = 1,004.40/x
  3. Step 3: Cross multiply
    2,648.70x = 3,972.60 × 1,004.40
  4. Step 4: Simplify right side
    2,648.70x = 3,990,079.44
  5. Step 5: Solve for x
    x = 3,990,079.44/2,648.70
  6. Step 6: Final answer
    x = 1,506.43

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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.