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Finding the Fourth Proportional to 2,283.84, 3,147.39 and 2,241.72

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Solution

The fourth proportional to 2,283.84, 3,147.39 and 2,241.72 is: 3,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.84 : 3,147.39 = 2,241.72 : x
  2. Step 2: Convert to fraction form
    2,283.84/3,147.39 = 2,241.72/x
  3. Step 3: Cross multiply
    2,283.84x = 3,147.39 × 2,241.72
  4. Step 4: Simplify right side
    2,283.84x = 7,055,567.11
  5. Step 5: Solve for x
    x = 7,055,567.11/2,283.84
  6. Step 6: Final answer
    x = 3,089.34

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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.