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Finding the Fourth Proportional to 1,986.53, 2,980.19 and 1,164.92

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Solution

The fourth proportional to 1,986.53, 2,980.19 and 1,164.92 is: 1,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.53 : 2,980.19 = 1,164.92 : x
  2. Step 2: Convert to fraction form
    1,986.53/2,980.19 = 1,164.92/x
  3. Step 3: Cross multiply
    1,986.53x = 2,980.19 × 1,164.92
  4. Step 4: Simplify right side
    1,986.53x = 3,471,670.95
  5. Step 5: Solve for x
    x = 3,471,670.95/1,986.53
  6. Step 6: Final answer
    x = 1,747.61

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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.