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Finding the Fourth Proportional to 1,684.07, 2,323.13 and 1,369.68

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Solution

The fourth proportional to 1,684.07, 2,323.13 and 1,369.68 is: 1,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.07 : 2,323.13 = 1,369.68 : x
  2. Step 2: Convert to fraction form
    1,684.07/2,323.13 = 1,369.68/x
  3. Step 3: Cross multiply
    1,684.07x = 2,323.13 × 1,369.68
  4. Step 4: Simplify right side
    1,684.07x = 3,181,937.85
  5. Step 5: Solve for x
    x = 3,181,937.85/1,684.07
  6. Step 6: Final answer
    x = 1,889.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.