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Finding the Fourth Proportional to 1,741.56, 2,611.57 and 1,252.56

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Solution

The fourth proportional to 1,741.56, 2,611.57 and 1,252.56 is: 1,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.56 : 2,611.57 = 1,252.56 : x
  2. Step 2: Convert to fraction form
    1,741.56/2,611.57 = 1,252.56/x
  3. Step 3: Cross multiply
    1,741.56x = 2,611.57 × 1,252.56
  4. Step 4: Simplify right side
    1,741.56x = 3,271,148.12
  5. Step 5: Solve for x
    x = 3,271,148.12/1,741.56
  6. Step 6: Final answer
    x = 1,878.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.