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Finding the Fourth Proportional to 2,107.37, 3,160.26 and 701.48

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Solution

The fourth proportional to 2,107.37, 3,160.26 and 701.48 is: 1,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.37 : 3,160.26 = 701.48 : x
  2. Step 2: Convert to fraction form
    2,107.37/3,160.26 = 701.48/x
  3. Step 3: Cross multiply
    2,107.37x = 3,160.26 × 701.48
  4. Step 4: Simplify right side
    2,107.37x = 2,216,859.18
  5. Step 5: Solve for x
    x = 2,216,859.18/2,107.37
  6. Step 6: Final answer
    x = 1,051.96

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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.