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Finding the Fourth Proportional to 2,449.82, 3,674.72 and 988.96

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Solution

The fourth proportional to 2,449.82, 3,674.72 and 988.96 is: 1,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.82 : 3,674.72 = 988.96 : x
  2. Step 2: Convert to fraction form
    2,449.82/3,674.72 = 988.96/x
  3. Step 3: Cross multiply
    2,449.82x = 3,674.72 × 988.96
  4. Step 4: Simplify right side
    2,449.82x = 3,634,127.77
  5. Step 5: Solve for x
    x = 3,634,127.77/2,449.82
  6. Step 6: Final answer
    x = 1,483.43

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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.