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Finding the Fourth Proportional to 1,741.77, 2,611.89 and 817.11

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Solution

The fourth proportional to 1,741.77, 2,611.89 and 817.11 is: 1,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.77 : 2,611.89 = 817.11 : x
  2. Step 2: Convert to fraction form
    1,741.77/2,611.89 = 817.11/x
  3. Step 3: Cross multiply
    1,741.77x = 2,611.89 × 817.11
  4. Step 4: Simplify right side
    1,741.77x = 2,134,201.44
  5. Step 5: Solve for x
    x = 2,134,201.44/1,741.77
  6. Step 6: Final answer
    x = 1,225.31

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1.5x scale

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.