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Finding the Fourth Proportional to 2,100.48, 3,151.94 and 1,987.88

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Solution

The fourth proportional to 2,100.48, 3,151.94 and 1,987.88 is: 2,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.48 : 3,151.94 = 1,987.88 : x
  2. Step 2: Convert to fraction form
    2,100.48/3,151.94 = 1,987.88/x
  3. Step 3: Cross multiply
    2,100.48x = 3,151.94 × 1,987.88
  4. Step 4: Simplify right side
    2,100.48x = 6,265,678.49
  5. Step 5: Solve for x
    x = 6,265,678.49/2,100.48
  6. Step 6: Final answer
    x = 2,982.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.