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Finding the Fourth Proportional to 2,980.27, 4,112.79 and 1,653.89

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Solution

The fourth proportional to 2,980.27, 4,112.79 and 1,653.89 is: 2,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.27 : 4,112.79 = 1,653.89 : x
  2. Step 2: Convert to fraction form
    2,980.27/4,112.79 = 1,653.89/x
  3. Step 3: Cross multiply
    2,980.27x = 4,112.79 × 1,653.89
  4. Step 4: Simplify right side
    2,980.27x = 6,802,102.25
  5. Step 5: Solve for x
    x = 6,802,102.25/2,980.27
  6. Step 6: Final answer
    x = 2,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.