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Finding the Fourth Proportional to 2,449.82, 3,674.71 and 988.95

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Solution

The fourth proportional to 2,449.82, 3,674.71 and 988.95 is: 1,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.82 : 3,674.71 = 988.95 : x
  2. Step 2: Convert to fraction form
    2,449.82/3,674.71 = 988.95/x
  3. Step 3: Cross multiply
    2,449.82x = 3,674.71 × 988.95
  4. Step 4: Simplify right side
    2,449.82x = 3,634,104.45
  5. Step 5: Solve for x
    x = 3,634,104.45/2,449.82
  6. Step 6: Final answer
    x = 1,483.42

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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.