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Finding the Fourth Proportional to 2,276.40, 3,414.60 and 1,892.40

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Solution

The fourth proportional to 2,276.40, 3,414.60 and 1,892.40 is: 2,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.40 : 3,414.60 = 1,892.40 : x
  2. Step 2: Convert to fraction form
    2,276.40/3,414.60 = 1,892.40/x
  3. Step 3: Cross multiply
    2,276.40x = 3,414.60 × 1,892.40
  4. Step 4: Simplify right side
    2,276.40x = 6,461,789.04
  5. Step 5: Solve for x
    x = 6,461,789.04/2,276.40
  6. Step 6: Final answer
    x = 2,838.60

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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.