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Finding the Fourth Proportional to 2,100.98, 3,147.35 and 988.93

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Solution

The fourth proportional to 2,100.98, 3,147.35 and 988.93 is: 1,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.98 : 3,147.35 = 988.93 : x
  2. Step 2: Convert to fraction form
    2,100.98/3,147.35 = 988.93/x
  3. Step 3: Cross multiply
    2,100.98x = 3,147.35 × 988.93
  4. Step 4: Simplify right side
    2,100.98x = 3,112,508.84
  5. Step 5: Solve for x
    x = 3,112,508.84/2,100.98
  6. Step 6: Final answer
    x = 1,481.46

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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.