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Finding the Fourth Proportional to 2,541.40, 3,810.54 and 1,662.83

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Solution

The fourth proportional to 2,541.40, 3,810.54 and 1,662.83 is: 2,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.40 : 3,810.54 = 1,662.83 : x
  2. Step 2: Convert to fraction form
    2,541.40/3,810.54 = 1,662.83/x
  3. Step 3: Cross multiply
    2,541.40x = 3,810.54 × 1,662.83
  4. Step 4: Simplify right side
    2,541.40x = 6,336,281.70
  5. Step 5: Solve for x
    x = 6,336,281.70/2,541.40
  6. Step 6: Final answer
    x = 2,493.22

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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.