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Finding the Fourth Proportional to 1,828.58, 2,742.87 and 732.18

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Solution

The fourth proportional to 1,828.58, 2,742.87 and 732.18 is: 1,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.58 : 2,742.87 = 732.18 : x
  2. Step 2: Convert to fraction form
    1,828.58/2,742.87 = 732.18/x
  3. Step 3: Cross multiply
    1,828.58x = 2,742.87 × 732.18
  4. Step 4: Simplify right side
    1,828.58x = 2,008,274.56
  5. Step 5: Solve for x
    x = 2,008,274.56/1,828.58
  6. Step 6: Final answer
    x = 1,098.27

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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.