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Finding the Fourth Proportional to 2,541.98, 3,509.52 and 1,660.26

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Solution

The fourth proportional to 2,541.98, 3,509.52 and 1,660.26 is: 2,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.98 : 3,509.52 = 1,660.26 : x
  2. Step 2: Convert to fraction form
    2,541.98/3,509.52 = 1,660.26/x
  3. Step 3: Cross multiply
    2,541.98x = 3,509.52 × 1,660.26
  4. Step 4: Simplify right side
    2,541.98x = 5,826,715.68
  5. Step 5: Solve for x
    x = 5,826,715.68/2,541.98
  6. Step 6: Final answer
    x = 2,292.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.