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Finding the Fourth Proportional to 2,751.84, 3,796.44 and 1,756.86

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Solution

The fourth proportional to 2,751.84, 3,796.44 and 1,756.86 is: 2,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.84 : 3,796.44 = 1,756.86 : x
  2. Step 2: Convert to fraction form
    2,751.84/3,796.44 = 1,756.86/x
  3. Step 3: Cross multiply
    2,751.84x = 3,796.44 × 1,756.86
  4. Step 4: Simplify right side
    2,751.84x = 6,669,813.58
  5. Step 5: Solve for x
    x = 6,669,813.58/2,751.84
  6. Step 6: Final answer
    x = 2,423.77

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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.