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Finding the Fourth Proportional to 1,662.24, 2,498.22 and 1,541.56

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Solution

The fourth proportional to 1,662.24, 2,498.22 and 1,541.56 is: 2,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.24 : 2,498.22 = 1,541.56 : x
  2. Step 2: Convert to fraction form
    1,662.24/2,498.22 = 1,541.56/x
  3. Step 3: Cross multiply
    1,662.24x = 2,498.22 × 1,541.56
  4. Step 4: Simplify right side
    1,662.24x = 3,851,156.02
  5. Step 5: Solve for x
    x = 3,851,156.02/1,662.24
  6. Step 6: Final answer
    x = 2,316.85

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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.