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Finding the Fourth Proportional to 1,986.86, 2,741.75 and 1,102.65

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Solution

The fourth proportional to 1,986.86, 2,741.75 and 1,102.65 is: 1,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.86 : 2,741.75 = 1,102.65 : x
  2. Step 2: Convert to fraction form
    1,986.86/2,741.75 = 1,102.65/x
  3. Step 3: Cross multiply
    1,986.86x = 2,741.75 × 1,102.65
  4. Step 4: Simplify right side
    1,986.86x = 3,023,178.98
  5. Step 5: Solve for x
    x = 3,023,178.98/1,986.86
  6. Step 6: Final answer
    x = 1,521.58

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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.