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Finding the Fourth Proportional to 1,806.86, 2,710.51 and 882.44

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Solution

The fourth proportional to 1,806.86, 2,710.51 and 882.44 is: 1,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.86 : 2,710.51 = 882.44 : x
  2. Step 2: Convert to fraction form
    1,806.86/2,710.51 = 882.44/x
  3. Step 3: Cross multiply
    1,806.86x = 2,710.51 × 882.44
  4. Step 4: Simplify right side
    1,806.86x = 2,391,877.06
  5. Step 5: Solve for x
    x = 2,391,877.06/1,806.86
  6. Step 6: Final answer
    x = 1,323.78

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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.