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Finding the Fourth Proportional to 2,180.56, 3,008.22 and 1,433.56

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Solution

The fourth proportional to 2,180.56, 3,008.22 and 1,433.56 is: 1,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.56 : 3,008.22 = 1,433.56 : x
  2. Step 2: Convert to fraction form
    2,180.56/3,008.22 = 1,433.56/x
  3. Step 3: Cross multiply
    2,180.56x = 3,008.22 × 1,433.56
  4. Step 4: Simplify right side
    2,180.56x = 4,312,463.86
  5. Step 5: Solve for x
    x = 4,312,463.86/2,180.56
  6. Step 6: Final answer
    x = 1,977.69

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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.