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Finding the Fourth Proportional to 2,017.50, 3,024.36 and 1,837.14

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Solution

The fourth proportional to 2,017.50, 3,024.36 and 1,837.14 is: 2,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.50 : 3,024.36 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    2,017.50/3,024.36 = 1,837.14/x
  3. Step 3: Cross multiply
    2,017.50x = 3,024.36 × 1,837.14
  4. Step 4: Simplify right side
    2,017.50x = 5,556,172.73
  5. Step 5: Solve for x
    x = 5,556,172.73/2,017.50
  6. Step 6: Final answer
    x = 2,753.99

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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.