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Finding the Fourth Proportional to 2,728.90, 3,765.88 and 1,486.90

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Solution

The fourth proportional to 2,728.90, 3,765.88 and 1,486.90 is: 2,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.90 : 3,765.88 = 1,486.90 : x
  2. Step 2: Convert to fraction form
    2,728.90/3,765.88 = 1,486.90/x
  3. Step 3: Cross multiply
    2,728.90x = 3,765.88 × 1,486.90
  4. Step 4: Simplify right side
    2,728.90x = 5,599,479.42
  5. Step 5: Solve for x
    x = 5,599,479.42/2,728.90
  6. Step 6: Final answer
    x = 2,051.92

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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.