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Finding the Fourth Proportional to 2,703.94, 3,732.66 and 1,907.89

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Solution

The fourth proportional to 2,703.94, 3,732.66 and 1,907.89 is: 2,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.94 : 3,732.66 = 1,907.89 : x
  2. Step 2: Convert to fraction form
    2,703.94/3,732.66 = 1,907.89/x
  3. Step 3: Cross multiply
    2,703.94x = 3,732.66 × 1,907.89
  4. Step 4: Simplify right side
    2,703.94x = 7,121,504.69
  5. Step 5: Solve for x
    x = 7,121,504.69/2,703.94
  6. Step 6: Final answer
    x = 2,633.75

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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.