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Finding the Fourth Proportional to 1,885.09, 2,827.89 and 652.85

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Solution

The fourth proportional to 1,885.09, 2,827.89 and 652.85 is: 979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.09 : 2,827.89 = 652.85 : x
  2. Step 2: Convert to fraction form
    1,885.09/2,827.89 = 652.85/x
  3. Step 3: Cross multiply
    1,885.09x = 2,827.89 × 652.85
  4. Step 4: Simplify right side
    1,885.09x = 1,846,187.99
  5. Step 5: Solve for x
    x = 1,846,187.99/1,885.09
  6. Step 6: Final answer
    x = 979.36

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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.