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Finding the Fourth Proportional to 1,828.28, 2,742.44 and 595.69

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Solution

The fourth proportional to 1,828.28, 2,742.44 and 595.69 is: 893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.28 : 2,742.44 = 595.69 : x
  2. Step 2: Convert to fraction form
    1,828.28/2,742.44 = 595.69/x
  3. Step 3: Cross multiply
    1,828.28x = 2,742.44 × 595.69
  4. Step 4: Simplify right side
    1,828.28x = 1,633,644.08
  5. Step 5: Solve for x
    x = 1,633,644.08/1,828.28
  6. Step 6: Final answer
    x = 893.54

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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.