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Finding the Fourth Proportional to 2,261.75, 3,391.32 and 701.34

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Solution

The fourth proportional to 2,261.75, 3,391.32 and 701.34 is: 1,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.75 : 3,391.32 = 701.34 : x
  2. Step 2: Convert to fraction form
    2,261.75/3,391.32 = 701.34/x
  3. Step 3: Cross multiply
    2,261.75x = 3,391.32 × 701.34
  4. Step 4: Simplify right side
    2,261.75x = 2,378,468.37
  5. Step 5: Solve for x
    x = 2,378,468.37/2,261.75
  6. Step 6: Final answer
    x = 1,051.60

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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.