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Finding the Fourth Proportional to 1,885.73, 2,827.91 and 652.80

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Solution

The fourth proportional to 1,885.73, 2,827.91 and 652.80 is: 978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.73 : 2,827.91 = 652.80 : x
  2. Step 2: Convert to fraction form
    1,885.73/2,827.91 = 652.80/x
  3. Step 3: Cross multiply
    1,885.73x = 2,827.91 × 652.80
  4. Step 4: Simplify right side
    1,885.73x = 1,846,059.65
  5. Step 5: Solve for x
    x = 1,846,059.65/1,885.73
  6. Step 6: Final answer
    x = 978.97

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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.