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Finding the Fourth Proportional to 1,827.94, 2,741.94 and 595.48

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Solution

The fourth proportional to 1,827.94, 2,741.94 and 595.48 is: 893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.94 : 2,741.94 = 595.48 : x
  2. Step 2: Convert to fraction form
    1,827.94/2,741.94 = 595.48/x
  3. Step 3: Cross multiply
    1,827.94x = 2,741.94 × 595.48
  4. Step 4: Simplify right side
    1,827.94x = 1,632,770.43
  5. Step 5: Solve for x
    x = 1,632,770.43/1,827.94
  6. Step 6: Final answer
    x = 893.23

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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.