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Finding the Fourth Proportional to 1,885.88, 2,828.26 and 652.97

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Solution

The fourth proportional to 1,885.88, 2,828.26 and 652.97 is: 979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.88 : 2,828.26 = 652.97 : x
  2. Step 2: Convert to fraction form
    1,885.88/2,828.26 = 652.97/x
  3. Step 3: Cross multiply
    1,885.88x = 2,828.26 × 652.97
  4. Step 4: Simplify right side
    1,885.88x = 1,846,768.93
  5. Step 5: Solve for x
    x = 1,846,768.93/1,885.88
  6. Step 6: Final answer
    x = 979.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.