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Finding the Fourth Proportional to 2,176.89, 3,004.08 and 1,232.87

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Solution

The fourth proportional to 2,176.89, 3,004.08 and 1,232.87 is: 1,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.89 : 3,004.08 = 1,232.87 : x
  2. Step 2: Convert to fraction form
    2,176.89/3,004.08 = 1,232.87/x
  3. Step 3: Cross multiply
    2,176.89x = 3,004.08 × 1,232.87
  4. Step 4: Simplify right side
    2,176.89x = 3,703,625.09
  5. Step 5: Solve for x
    x = 3,703,625.09/2,176.89
  6. Step 6: Final answer
    x = 1,701.34

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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.