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Finding the Fourth Proportional to 2,740.45, 3,780.49 and 1,795.82

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Solution

The fourth proportional to 2,740.45, 3,780.49 and 1,795.82 is: 2,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.45 : 3,780.49 = 1,795.82 : x
  2. Step 2: Convert to fraction form
    2,740.45/3,780.49 = 1,795.82/x
  3. Step 3: Cross multiply
    2,740.45x = 3,780.49 × 1,795.82
  4. Step 4: Simplify right side
    2,740.45x = 6,789,079.55
  5. Step 5: Solve for x
    x = 6,789,079.55/2,740.45
  6. Step 6: Final answer
    x = 2,477.36

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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.