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Finding the Fourth Proportional to 1,686.73, 2,326.37 and 1,097.46

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Solution

The fourth proportional to 1,686.73, 2,326.37 and 1,097.46 is: 1,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.73 : 2,326.37 = 1,097.46 : x
  2. Step 2: Convert to fraction form
    1,686.73/2,326.37 = 1,097.46/x
  3. Step 3: Cross multiply
    1,686.73x = 2,326.37 × 1,097.46
  4. Step 4: Simplify right side
    1,686.73x = 2,553,089.13
  5. Step 5: Solve for x
    x = 2,553,089.13/1,686.73
  6. Step 6: Final answer
    x = 1,513.63

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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.