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Finding the Fourth Proportional to 2,563.83, 3,845.85 and 714.93

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Solution

The fourth proportional to 2,563.83, 3,845.85 and 714.93 is: 1,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.83 : 3,845.85 = 714.93 : x
  2. Step 2: Convert to fraction form
    2,563.83/3,845.85 = 714.93/x
  3. Step 3: Cross multiply
    2,563.83x = 3,845.85 × 714.93
  4. Step 4: Simplify right side
    2,563.83x = 2,749,513.54
  5. Step 5: Solve for x
    x = 2,749,513.54/2,563.83
  6. Step 6: Final answer
    x = 1,072.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.