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Finding the Fourth Proportional to 2,277.36, 3,417 and 961.44

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Solution

The fourth proportional to 2,277.36, 3,417 and 961.44 is: 1,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.36 : 3,417 = 961.44 : x
  2. Step 2: Convert to fraction form
    2,277.36/3,417 = 961.44/x
  3. Step 3: Cross multiply
    2,277.36x = 3,417 × 961.44
  4. Step 4: Simplify right side
    2,277.36x = 3,285,240.48
  5. Step 5: Solve for x
    x = 3,285,240.48/2,277.36
  6. Step 6: Final answer
    x = 1,442.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.