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Finding the Fourth Proportional to 1,237.06, 1,851.94 and 825.18

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Solution

The fourth proportional to 1,237.06, 1,851.94 and 825.18 is: 1,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.06 : 1,851.94 = 825.18 : x
  2. Step 2: Convert to fraction form
    1,237.06/1,851.94 = 825.18/x
  3. Step 3: Cross multiply
    1,237.06x = 1,851.94 × 825.18
  4. Step 4: Simplify right side
    1,237.06x = 1,528,183.85
  5. Step 5: Solve for x
    x = 1,528,183.85/1,237.06
  6. Step 6: Final answer
    x = 1,235.34

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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.