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Finding the Fourth Proportional to 1,389.84, 1,926.26 and 1,363.92

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Solution

The fourth proportional to 1,389.84, 1,926.26 and 1,363.92 is: 1,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.84 : 1,926.26 = 1,363.92 : x
  2. Step 2: Convert to fraction form
    1,389.84/1,926.26 = 1,363.92/x
  3. Step 3: Cross multiply
    1,389.84x = 1,926.26 × 1,363.92
  4. Step 4: Simplify right side
    1,389.84x = 2,627,264.54
  5. Step 5: Solve for x
    x = 2,627,264.54/1,389.84
  6. Step 6: Final answer
    x = 1,890.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.