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Finding the Fourth Proportional to 2,169.63, 3,250.13 and 1,650.51

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Solution

The fourth proportional to 2,169.63, 3,250.13 and 1,650.51 is: 2,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.63 : 3,250.13 = 1,650.51 : x
  2. Step 2: Convert to fraction form
    2,169.63/3,250.13 = 1,650.51/x
  3. Step 3: Cross multiply
    2,169.63x = 3,250.13 × 1,650.51
  4. Step 4: Simplify right side
    2,169.63x = 5,364,363.81
  5. Step 5: Solve for x
    x = 5,364,363.81/2,169.63
  6. Step 6: Final answer
    x = 2,472.48

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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.