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Finding the Fourth Proportional to 2,730.96, 4,097.40 and 882.15

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Solution

The fourth proportional to 2,730.96, 4,097.40 and 882.15 is: 1,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.96 : 4,097.40 = 882.15 : x
  2. Step 2: Convert to fraction form
    2,730.96/4,097.40 = 882.15/x
  3. Step 3: Cross multiply
    2,730.96x = 4,097.40 × 882.15
  4. Step 4: Simplify right side
    2,730.96x = 3,614,521.41
  5. Step 5: Solve for x
    x = 3,614,521.41/2,730.96
  6. Step 6: Final answer
    x = 1,323.54

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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.