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Finding the Fourth Proportional to 1,741.94, 2,612.61 and 571.97

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Solution

The fourth proportional to 1,741.94, 2,612.61 and 571.97 is: 857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.94 : 2,612.61 = 571.97 : x
  2. Step 2: Convert to fraction form
    1,741.94/2,612.61 = 571.97/x
  3. Step 3: Cross multiply
    1,741.94x = 2,612.61 × 571.97
  4. Step 4: Simplify right side
    1,741.94x = 1,494,322.16
  5. Step 5: Solve for x
    x = 1,494,322.16/1,741.94
  6. Step 6: Final answer
    x = 857.85

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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.