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Finding the Fourth Proportional to 3,047.51, 4,205.58 and 1,650.26

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Solution

The fourth proportional to 3,047.51, 4,205.58 and 1,650.26 is: 2,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.51 : 4,205.58 = 1,650.26 : x
  2. Step 2: Convert to fraction form
    3,047.51/4,205.58 = 1,650.26/x
  3. Step 3: Cross multiply
    3,047.51x = 4,205.58 × 1,650.26
  4. Step 4: Simplify right side
    3,047.51x = 6,940,300.45
  5. Step 5: Solve for x
    x = 6,940,300.45/3,047.51
  6. Step 6: Final answer
    x = 2,277.37

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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.