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Finding the Fourth Proportional to 2,133.63, 3,199.76 and 746.71

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Solution

The fourth proportional to 2,133.63, 3,199.76 and 746.71 is: 1,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.63 : 3,199.76 = 746.71 : x
  2. Step 2: Convert to fraction form
    2,133.63/3,199.76 = 746.71/x
  3. Step 3: Cross multiply
    2,133.63x = 3,199.76 × 746.71
  4. Step 4: Simplify right side
    2,133.63x = 2,389,292.79
  5. Step 5: Solve for x
    x = 2,389,292.79/2,133.63
  6. Step 6: Final answer
    x = 1,119.83

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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.