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Finding the Fourth Proportional to 2,840.70, 4,261.74 and 892.90

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Solution

The fourth proportional to 2,840.70, 4,261.74 and 892.90 is: 1,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.70 : 4,261.74 = 892.90 : x
  2. Step 2: Convert to fraction form
    2,840.70/4,261.74 = 892.90/x
  3. Step 3: Cross multiply
    2,840.70x = 4,261.74 × 892.90
  4. Step 4: Simplify right side
    2,840.70x = 3,805,300.15
  5. Step 5: Solve for x
    x = 3,805,300.15/2,840.70
  6. Step 6: Final answer
    x = 1,339.57

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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.