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Finding the Fourth Proportional to 2,017.82, 3,020.21 and 1,042.58

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Solution

The fourth proportional to 2,017.82, 3,020.21 and 1,042.58 is: 1,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.82 : 3,020.21 = 1,042.58 : x
  2. Step 2: Convert to fraction form
    2,017.82/3,020.21 = 1,042.58/x
  3. Step 3: Cross multiply
    2,017.82x = 3,020.21 × 1,042.58
  4. Step 4: Simplify right side
    2,017.82x = 3,148,798.05
  5. Step 5: Solve for x
    x = 3,148,798.05/2,017.82
  6. Step 6: Final answer
    x = 1,560.50

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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.