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Finding the Fourth Proportional to 1,685.74, 2,326.14 and 939.52

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Solution

The fourth proportional to 1,685.74, 2,326.14 and 939.52 is: 1,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.74 : 2,326.14 = 939.52 : x
  2. Step 2: Convert to fraction form
    1,685.74/2,326.14 = 939.52/x
  3. Step 3: Cross multiply
    1,685.74x = 2,326.14 × 939.52
  4. Step 4: Simplify right side
    1,685.74x = 2,185,455.05
  5. Step 5: Solve for x
    x = 2,185,455.05/1,685.74
  6. Step 6: Final answer
    x = 1,296.44

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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.