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Finding the Fourth Proportional to 2,541.90, 3,810.12 and 1,661.64

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Solution

The fourth proportional to 2,541.90, 3,810.12 and 1,661.64 is: 2,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.90 : 3,810.12 = 1,661.64 : x
  2. Step 2: Convert to fraction form
    2,541.90/3,810.12 = 1,661.64/x
  3. Step 3: Cross multiply
    2,541.90x = 3,810.12 × 1,661.64
  4. Step 4: Simplify right side
    2,541.90x = 6,331,047.80
  5. Step 5: Solve for x
    x = 6,331,047.80/2,541.90
  6. Step 6: Final answer
    x = 2,490.68

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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.