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Finding the Fourth Proportional to 1,986.08, 2,740.92 and 1,364

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Solution

The fourth proportional to 1,986.08, 2,740.92 and 1,364 is: 1,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.08 : 2,740.92 = 1,364 : x
  2. Step 2: Convert to fraction form
    1,986.08/2,740.92 = 1,364/x
  3. Step 3: Cross multiply
    1,986.08x = 2,740.92 × 1,364
  4. Step 4: Simplify right side
    1,986.08x = 3,738,614.88
  5. Step 5: Solve for x
    x = 3,738,614.88/1,986.08
  6. Step 6: Final answer
    x = 1,882.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.