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Finding the Fourth Proportional to 1,634.49, 2,448.90 and 983.79

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Solution

The fourth proportional to 1,634.49, 2,448.90 and 983.79 is: 1,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.49 : 2,448.90 = 983.79 : x
  2. Step 2: Convert to fraction form
    1,634.49/2,448.90 = 983.79/x
  3. Step 3: Cross multiply
    1,634.49x = 2,448.90 × 983.79
  4. Step 4: Simplify right side
    1,634.49x = 2,409,203.33
  5. Step 5: Solve for x
    x = 2,409,203.33/1,634.49
  6. Step 6: Final answer
    x = 1,473.98

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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.