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Finding the Fourth Proportional to 2,228.34, 3,072.84 and 1,343.98

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Solution

The fourth proportional to 2,228.34, 3,072.84 and 1,343.98 is: 1,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.34 : 3,072.84 = 1,343.98 : x
  2. Step 2: Convert to fraction form
    2,228.34/3,072.84 = 1,343.98/x
  3. Step 3: Cross multiply
    2,228.34x = 3,072.84 × 1,343.98
  4. Step 4: Simplify right side
    2,228.34x = 4,129,835.50
  5. Step 5: Solve for x
    x = 4,129,835.50/2,228.34
  6. Step 6: Final answer
    x = 1,853.32

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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.