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Finding the Fourth Proportional to 2,611.10, 3,604.02 and 1,492.64

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Solution

The fourth proportional to 2,611.10, 3,604.02 and 1,492.64 is: 2,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.10 : 3,604.02 = 1,492.64 : x
  2. Step 2: Convert to fraction form
    2,611.10/3,604.02 = 1,492.64/x
  3. Step 3: Cross multiply
    2,611.10x = 3,604.02 × 1,492.64
  4. Step 4: Simplify right side
    2,611.10x = 5,379,504.41
  5. Step 5: Solve for x
    x = 5,379,504.41/2,611.10
  6. Step 6: Final answer
    x = 2,060.24

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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.