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Finding the Fourth Proportional to 2,801.40, 4,039.20 and 2,801.40

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Solution

The fourth proportional to 2,801.40, 4,039.20 and 2,801.40 is: 4,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.40 : 4,039.20 = 2,801.40 : x
  2. Step 2: Convert to fraction form
    2,801.40/4,039.20 = 2,801.40/x
  3. Step 3: Cross multiply
    2,801.40x = 4,039.20 × 2,801.40
  4. Step 4: Simplify right side
    2,801.40x = 11,315,414.88
  5. Step 5: Solve for x
    x = 11,315,414.88/2,801.40
  6. Step 6: Final answer
    x = 4,039.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.