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Finding the Fourth Proportional to 2,184.96, 3,029.28 and 2,112.96

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Solution

The fourth proportional to 2,184.96, 3,029.28 and 2,112.96 is: 2,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.96 : 3,029.28 = 2,112.96 : x
  2. Step 2: Convert to fraction form
    2,184.96/3,029.28 = 2,112.96/x
  3. Step 3: Cross multiply
    2,184.96x = 3,029.28 × 2,112.96
  4. Step 4: Simplify right side
    2,184.96x = 6,400,747.47
  5. Step 5: Solve for x
    x = 6,400,747.47/2,184.96
  6. Step 6: Final answer
    x = 2,929.46

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