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Finding the Fourth Proportional to 2,526.90, 3,789 and 882.96

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Solution

The fourth proportional to 2,526.90, 3,789 and 882.96 is: 1,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.90 : 3,789 = 882.96 : x
  2. Step 2: Convert to fraction form
    2,526.90/3,789 = 882.96/x
  3. Step 3: Cross multiply
    2,526.90x = 3,789 × 882.96
  4. Step 4: Simplify right side
    2,526.90x = 3,345,535.44
  5. Step 5: Solve for x
    x = 3,345,535.44/2,526.90
  6. Step 6: Final answer
    x = 1,323.97

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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.