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Finding the Fourth Proportional to 2,533.92, 3,798.45 and 2,012.55

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Solution

The fourth proportional to 2,533.92, 3,798.45 and 2,012.55 is: 3,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.92 : 3,798.45 = 2,012.55 : x
  2. Step 2: Convert to fraction form
    2,533.92/3,798.45 = 2,012.55/x
  3. Step 3: Cross multiply
    2,533.92x = 3,798.45 × 2,012.55
  4. Step 4: Simplify right side
    2,533.92x = 7,644,570.55
  5. Step 5: Solve for x
    x = 7,644,570.55/2,533.92
  6. Step 6: Final answer
    x = 3,016.89

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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.