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Finding the Fourth Proportional to 2,827.42, 3,897.34 and 2,228.94

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Solution

The fourth proportional to 2,827.42, 3,897.34 and 2,228.94 is: 3,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.42 : 3,897.34 = 2,228.94 : x
  2. Step 2: Convert to fraction form
    2,827.42/3,897.34 = 2,228.94/x
  3. Step 3: Cross multiply
    2,827.42x = 3,897.34 × 2,228.94
  4. Step 4: Simplify right side
    2,827.42x = 8,686,931.45
  5. Step 5: Solve for x
    x = 8,686,931.45/2,827.42
  6. Step 6: Final answer
    x = 3,072.39

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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.