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Finding the Fourth Proportional to 2,611.86, 3,604.31 and 1,432.92

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Solution

The fourth proportional to 2,611.86, 3,604.31 and 1,432.92 is: 1,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.86 : 3,604.31 = 1,432.92 : x
  2. Step 2: Convert to fraction form
    2,611.86/3,604.31 = 1,432.92/x
  3. Step 3: Cross multiply
    2,611.86x = 3,604.31 × 1,432.92
  4. Step 4: Simplify right side
    2,611.86x = 5,164,680.72
  5. Step 5: Solve for x
    x = 5,164,680.72/2,611.86
  6. Step 6: Final answer
    x = 1,977.40

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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.