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Finding the Fourth Proportional to 1,396.41, 1,926.34 and 954.33

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Solution

The fourth proportional to 1,396.41, 1,926.34 and 954.33 is: 1,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.41 : 1,926.34 = 954.33 : x
  2. Step 2: Convert to fraction form
    1,396.41/1,926.34 = 954.33/x
  3. Step 3: Cross multiply
    1,396.41x = 1,926.34 × 954.33
  4. Step 4: Simplify right side
    1,396.41x = 1,838,364.05
  5. Step 5: Solve for x
    x = 1,838,364.05/1,396.41
  6. Step 6: Final answer
    x = 1,316.49

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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.