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Finding the Fourth Proportional to 1,828.38, 2,742.26 and 658.14

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Solution

The fourth proportional to 1,828.38, 2,742.26 and 658.14 is: 987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.38 : 2,742.26 = 658.14 : x
  2. Step 2: Convert to fraction form
    1,828.38/2,742.26 = 658.14/x
  3. Step 3: Cross multiply
    1,828.38x = 2,742.26 × 658.14
  4. Step 4: Simplify right side
    1,828.38x = 1,804,787.71
  5. Step 5: Solve for x
    x = 1,804,787.71/1,828.38
  6. Step 6: Final answer
    x = 987.10

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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.