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Finding the Fourth Proportional to 2,042.20, 2,852.60 and 2,042.20

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Solution

The fourth proportional to 2,042.20, 2,852.60 and 2,042.20 is: 2,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.20 : 2,852.60 = 2,042.20 : x
  2. Step 2: Convert to fraction form
    2,042.20/2,852.60 = 2,042.20/x
  3. Step 3: Cross multiply
    2,042.20x = 2,852.60 × 2,042.20
  4. Step 4: Simplify right side
    2,042.20x = 5,825,579.72
  5. Step 5: Solve for x
    x = 5,825,579.72/2,042.20
  6. Step 6: Final answer
    x = 2,852.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.