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Finding the Fourth Proportional to 2,526.71, 3,788.94 and 882.86

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Solution

The fourth proportional to 2,526.71, 3,788.94 and 882.86 is: 1,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.71 : 3,788.94 = 882.86 : x
  2. Step 2: Convert to fraction form
    2,526.71/3,788.94 = 882.86/x
  3. Step 3: Cross multiply
    2,526.71x = 3,788.94 × 882.86
  4. Step 4: Simplify right side
    2,526.71x = 3,345,103.57
  5. Step 5: Solve for x
    x = 3,345,103.57/2,526.71
  6. Step 6: Final answer
    x = 1,323.90

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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.