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Finding the Fourth Proportional to 1,788.42, 2,682.42 and 556.14

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Solution

The fourth proportional to 1,788.42, 2,682.42 and 556.14 is: 834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.42 : 2,682.42 = 556.14 : x
  2. Step 2: Convert to fraction form
    1,788.42/2,682.42 = 556.14/x
  3. Step 3: Cross multiply
    1,788.42x = 2,682.42 × 556.14
  4. Step 4: Simplify right side
    1,788.42x = 1,491,801.06
  5. Step 5: Solve for x
    x = 1,491,801.06/1,788.42
  6. Step 6: Final answer
    x = 834.14

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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.