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Finding the Fourth Proportional to 1,751, 2,416.41 and 965.06

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Solution

The fourth proportional to 1,751, 2,416.41 and 965.06 is: 1,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751 : 2,416.41 = 965.06 : x
  2. Step 2: Convert to fraction form
    1,751/2,416.41 = 965.06/x
  3. Step 3: Cross multiply
    1,751x = 2,416.41 × 965.06
  4. Step 4: Simplify right side
    1,751x = 2,331,968.55
  5. Step 5: Solve for x
    x = 2,331,968.55/1,751
  6. Step 6: Final answer
    x = 1,331.79

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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.