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Finding the Fourth Proportional to 1,741.57, 2,611.95 and 816.25

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Solution

The fourth proportional to 1,741.57, 2,611.95 and 816.25 is: 1,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.57 : 2,611.95 = 816.25 : x
  2. Step 2: Convert to fraction form
    1,741.57/2,611.95 = 816.25/x
  3. Step 3: Cross multiply
    1,741.57x = 2,611.95 × 816.25
  4. Step 4: Simplify right side
    1,741.57x = 2,132,004.19
  5. Step 5: Solve for x
    x = 2,132,004.19/1,741.57
  6. Step 6: Final answer
    x = 1,224.19

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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.