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Finding the Fourth Proportional to 1,987.86, 2,978.97 and 1,463.75

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Solution

The fourth proportional to 1,987.86, 2,978.97 and 1,463.75 is: 2,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.86 : 2,978.97 = 1,463.75 : x
  2. Step 2: Convert to fraction form
    1,987.86/2,978.97 = 1,463.75/x
  3. Step 3: Cross multiply
    1,987.86x = 2,978.97 × 1,463.75
  4. Step 4: Simplify right side
    1,987.86x = 4,360,453.86
  5. Step 5: Solve for x
    x = 4,360,453.86/1,987.86
  6. Step 6: Final answer
    x = 2,193.54

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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.