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Finding the Fourth Proportional to 2,180.59, 3,271.76 and 882.16

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Solution

The fourth proportional to 2,180.59, 3,271.76 and 882.16 is: 1,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.59 : 3,271.76 = 882.16 : x
  2. Step 2: Convert to fraction form
    2,180.59/3,271.76 = 882.16/x
  3. Step 3: Cross multiply
    2,180.59x = 3,271.76 × 882.16
  4. Step 4: Simplify right side
    2,180.59x = 2,886,215.80
  5. Step 5: Solve for x
    x = 2,886,215.80/2,180.59
  6. Step 6: Final answer
    x = 1,323.59

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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.