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Finding the Fourth Proportional to 2,456.48, 3,684.72 and 2,022.72

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Solution

The fourth proportional to 2,456.48, 3,684.72 and 2,022.72 is: 3,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.48 : 3,684.72 = 2,022.72 : x
  2. Step 2: Convert to fraction form
    2,456.48/3,684.72 = 2,022.72/x
  3. Step 3: Cross multiply
    2,456.48x = 3,684.72 × 2,022.72
  4. Step 4: Simplify right side
    2,456.48x = 7,453,156.84
  5. Step 5: Solve for x
    x = 7,453,156.84/2,456.48
  6. Step 6: Final answer
    x = 3,034.09

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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.