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Finding the Fourth Proportional to 1,950.47, 2,693.69 and 1,684.38

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Solution

The fourth proportional to 1,950.47, 2,693.69 and 1,684.38 is: 2,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.47 : 2,693.69 = 1,684.38 : x
  2. Step 2: Convert to fraction form
    1,950.47/2,693.69 = 1,684.38/x
  3. Step 3: Cross multiply
    1,950.47x = 2,693.69 × 1,684.38
  4. Step 4: Simplify right side
    1,950.47x = 4,537,189.14
  5. Step 5: Solve for x
    x = 4,537,189.14/1,950.47
  6. Step 6: Final answer
    x = 2,326.21

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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.