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Finding the Fourth Proportional to 1,828.38, 2,741.89 and 658.07

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Solution

The fourth proportional to 1,828.38, 2,741.89 and 658.07 is: 986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.38 : 2,741.89 = 658.07 : x
  2. Step 2: Convert to fraction form
    1,828.38/2,741.89 = 658.07/x
  3. Step 3: Cross multiply
    1,828.38x = 2,741.89 × 658.07
  4. Step 4: Simplify right side
    1,828.38x = 1,804,340.20
  5. Step 5: Solve for x
    x = 1,804,340.20/1,828.38
  6. Step 6: Final answer
    x = 986.85

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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.