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Finding the Fourth Proportional to 2,892.44, 4,339.67 and 2,102.54

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Solution

The fourth proportional to 2,892.44, 4,339.67 and 2,102.54 is: 3,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.44 : 4,339.67 = 2,102.54 : x
  2. Step 2: Convert to fraction form
    2,892.44/4,339.67 = 2,102.54/x
  3. Step 3: Cross multiply
    2,892.44x = 4,339.67 × 2,102.54
  4. Step 4: Simplify right side
    2,892.44x = 9,124,329.76
  5. Step 5: Solve for x
    x = 9,124,329.76/2,892.44
  6. Step 6: Final answer
    x = 3,154.54

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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.