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Finding the Fourth Proportional to 1,364.26, 1,883.10 and 1,015.42

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Solution

The fourth proportional to 1,364.26, 1,883.10 and 1,015.42 is: 1,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.26 : 1,883.10 = 1,015.42 : x
  2. Step 2: Convert to fraction form
    1,364.26/1,883.10 = 1,015.42/x
  3. Step 3: Cross multiply
    1,364.26x = 1,883.10 × 1,015.42
  4. Step 4: Simplify right side
    1,364.26x = 1,912,137.40
  5. Step 5: Solve for x
    x = 1,912,137.40/1,364.26
  6. Step 6: Final answer
    x = 1,401.59

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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.