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Finding the Fourth Proportional to 2,892.60, 4,340.72 and 1,662.41

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Solution

The fourth proportional to 2,892.60, 4,340.72 and 1,662.41 is: 2,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.60 : 4,340.72 = 1,662.41 : x
  2. Step 2: Convert to fraction form
    2,892.60/4,340.72 = 1,662.41/x
  3. Step 3: Cross multiply
    2,892.60x = 4,340.72 × 1,662.41
  4. Step 4: Simplify right side
    2,892.60x = 7,216,026.32
  5. Step 5: Solve for x
    x = 7,216,026.32/2,892.60
  6. Step 6: Final answer
    x = 2,494.65

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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.