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Finding the Fourth Proportional to 2,611.53, 3,604.01 and 1,432.64

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Solution

The fourth proportional to 2,611.53, 3,604.01 and 1,432.64 is: 1,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.53 : 3,604.01 = 1,432.64 : x
  2. Step 2: Convert to fraction form
    2,611.53/3,604.01 = 1,432.64/x
  3. Step 3: Cross multiply
    2,611.53x = 3,604.01 × 1,432.64
  4. Step 4: Simplify right side
    2,611.53x = 5,163,223.70
  5. Step 5: Solve for x
    x = 5,163,223.70/2,611.53
  6. Step 6: Final answer
    x = 1,977.09

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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.