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Finding the Fourth Proportional to 2,840.04, 4,260.53 and 892.13

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Solution

The fourth proportional to 2,840.04, 4,260.53 and 892.13 is: 1,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.04 : 4,260.53 = 892.13 : x
  2. Step 2: Convert to fraction form
    2,840.04/4,260.53 = 892.13/x
  3. Step 3: Cross multiply
    2,840.04x = 4,260.53 × 892.13
  4. Step 4: Simplify right side
    2,840.04x = 3,800,927.56
  5. Step 5: Solve for x
    x = 3,800,927.56/2,840.04
  6. Step 6: Final answer
    x = 1,338.34

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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.