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Finding the Fourth Proportional to 2,370.54, 3,554.86 and 982.94

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Solution

The fourth proportional to 2,370.54, 3,554.86 and 982.94 is: 1,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.54 : 3,554.86 = 982.94 : x
  2. Step 2: Convert to fraction form
    2,370.54/3,554.86 = 982.94/x
  3. Step 3: Cross multiply
    2,370.54x = 3,554.86 × 982.94
  4. Step 4: Simplify right side
    2,370.54x = 3,494,198.46
  5. Step 5: Solve for x
    x = 3,494,198.46/2,370.54
  6. Step 6: Final answer
    x = 1,474.01

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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.