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Finding the Fourth Proportional to 1,986.37, 2,980.90 and 1,328.98

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Solution

The fourth proportional to 1,986.37, 2,980.90 and 1,328.98 is: 1,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.37 : 2,980.90 = 1,328.98 : x
  2. Step 2: Convert to fraction form
    1,986.37/2,980.90 = 1,328.98/x
  3. Step 3: Cross multiply
    1,986.37x = 2,980.90 × 1,328.98
  4. Step 4: Simplify right side
    1,986.37x = 3,961,556.48
  5. Step 5: Solve for x
    x = 3,961,556.48/1,986.37
  6. Step 6: Final answer
    x = 1,994.37

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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.