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Finding the Fourth Proportional to 1,828.75, 2,741.47 and 658.48

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Solution

The fourth proportional to 1,828.75, 2,741.47 and 658.48 is: 987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.75 : 2,741.47 = 658.48 : x
  2. Step 2: Convert to fraction form
    1,828.75/2,741.47 = 658.48/x
  3. Step 3: Cross multiply
    1,828.75x = 2,741.47 × 658.48
  4. Step 4: Simplify right side
    1,828.75x = 1,805,201.66
  5. Step 5: Solve for x
    x = 1,805,201.66/1,828.75
  6. Step 6: Final answer
    x = 987.12

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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.