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Finding the Fourth Proportional to 1,693.14, 2,340.81 and 1,250.34

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Solution

The fourth proportional to 1,693.14, 2,340.81 and 1,250.34 is: 1,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.14 : 2,340.81 = 1,250.34 : x
  2. Step 2: Convert to fraction form
    1,693.14/2,340.81 = 1,250.34/x
  3. Step 3: Cross multiply
    1,693.14x = 2,340.81 × 1,250.34
  4. Step 4: Simplify right side
    1,693.14x = 2,926,808.38
  5. Step 5: Solve for x
    x = 2,926,808.38/1,693.14
  6. Step 6: Final answer
    x = 1,728.63

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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.