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Finding the Fourth Proportional to 1,828.25, 2,742.07 and 658.02

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Solution

The fourth proportional to 1,828.25, 2,742.07 and 658.02 is: 986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.25 : 2,742.07 = 658.02 : x
  2. Step 2: Convert to fraction form
    1,828.25/2,742.07 = 658.02/x
  3. Step 3: Cross multiply
    1,828.25x = 2,742.07 × 658.02
  4. Step 4: Simplify right side
    1,828.25x = 1,804,336.90
  5. Step 5: Solve for x
    x = 1,804,336.90/1,828.25
  6. Step 6: Final answer
    x = 986.92

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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.