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Finding the Fourth Proportional to 1,827.63, 2,742.08 and 732.33

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Solution

The fourth proportional to 1,827.63, 2,742.08 and 732.33 is: 1,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.63 : 2,742.08 = 732.33 : x
  2. Step 2: Convert to fraction form
    1,827.63/2,742.08 = 732.33/x
  3. Step 3: Cross multiply
    1,827.63x = 2,742.08 × 732.33
  4. Step 4: Simplify right side
    1,827.63x = 2,008,103.78
  5. Step 5: Solve for x
    x = 2,008,103.78/1,827.63
  6. Step 6: Final answer
    x = 1,098.75

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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.