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Finding the Fourth Proportional to 2,291.54, 3,179.63 and 2,199

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Solution

The fourth proportional to 2,291.54, 3,179.63 and 2,199 is: 3,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.54 : 3,179.63 = 2,199 : x
  2. Step 2: Convert to fraction form
    2,291.54/3,179.63 = 2,199/x
  3. Step 3: Cross multiply
    2,291.54x = 3,179.63 × 2,199
  4. Step 4: Simplify right side
    2,291.54x = 6,991,995.38
  5. Step 5: Solve for x
    x = 6,991,995.38/2,291.54
  6. Step 6: Final answer
    x = 3,051.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.