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Finding the Fourth Proportional to 2,370.96, 3,554.88 and 984.96

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Solution

The fourth proportional to 2,370.96, 3,554.88 and 984.96 is: 1,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.96 : 3,554.88 = 984.96 : x
  2. Step 2: Convert to fraction form
    2,370.96/3,554.88 = 984.96/x
  3. Step 3: Cross multiply
    2,370.96x = 3,554.88 × 984.96
  4. Step 4: Simplify right side
    2,370.96x = 3,501,414.60
  5. Step 5: Solve for x
    x = 3,501,414.60/2,370.96
  6. Step 6: Final answer
    x = 1,476.79

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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.