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Finding the Fourth Proportional to 1,986.90, 2,978.79 and 1,254.94

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Solution

The fourth proportional to 1,986.90, 2,978.79 and 1,254.94 is: 1,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.90 : 2,978.79 = 1,254.94 : x
  2. Step 2: Convert to fraction form
    1,986.90/2,978.79 = 1,254.94/x
  3. Step 3: Cross multiply
    1,986.90x = 2,978.79 × 1,254.94
  4. Step 4: Simplify right side
    1,986.90x = 3,738,197.63
  5. Step 5: Solve for x
    x = 3,738,197.63/1,986.90
  6. Step 6: Final answer
    x = 1,881.42

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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.