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Finding the Fourth Proportional to 2,611.76, 3,604.29 and 1,432.83

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Solution

The fourth proportional to 2,611.76, 3,604.29 and 1,432.83 is: 1,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.76 : 3,604.29 = 1,432.83 : x
  2. Step 2: Convert to fraction form
    2,611.76/3,604.29 = 1,432.83/x
  3. Step 3: Cross multiply
    2,611.76x = 3,604.29 × 1,432.83
  4. Step 4: Simplify right side
    2,611.76x = 5,164,322.71
  5. Step 5: Solve for x
    x = 5,164,322.71/2,611.76
  6. Step 6: Final answer
    x = 1,977.34

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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.