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Finding the Fourth Proportional to 2,971.70, 4,456.04 and 996.65

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Solution

The fourth proportional to 2,971.70, 4,456.04 and 996.65 is: 1,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.70 : 4,456.04 = 996.65 : x
  2. Step 2: Convert to fraction form
    2,971.70/4,456.04 = 996.65/x
  3. Step 3: Cross multiply
    2,971.70x = 4,456.04 × 996.65
  4. Step 4: Simplify right side
    2,971.70x = 4,441,085.00
  5. Step 5: Solve for x
    x = 4,441,085.00/2,971.70
  6. Step 6: Final answer
    x = 1,494.46

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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.