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Finding the Fourth Proportional to 1,804.40, 2,706.59 and 982.49

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Solution

The fourth proportional to 1,804.40, 2,706.59 and 982.49 is: 1,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.40 : 2,706.59 = 982.49 : x
  2. Step 2: Convert to fraction form
    1,804.40/2,706.59 = 982.49/x
  3. Step 3: Cross multiply
    1,804.40x = 2,706.59 × 982.49
  4. Step 4: Simplify right side
    1,804.40x = 2,659,197.61
  5. Step 5: Solve for x
    x = 2,659,197.61/1,804.40
  6. Step 6: Final answer
    x = 1,473.73

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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.