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Finding the Fourth Proportional to 2,541.44, 3,506.72 and 1,657.28

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Solution

The fourth proportional to 2,541.44, 3,506.72 and 1,657.28 is: 2,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.44 : 3,506.72 = 1,657.28 : x
  2. Step 2: Convert to fraction form
    2,541.44/3,506.72 = 1,657.28/x
  3. Step 3: Cross multiply
    2,541.44x = 3,506.72 × 1,657.28
  4. Step 4: Simplify right side
    2,541.44x = 5,811,616.92
  5. Step 5: Solve for x
    x = 5,811,616.92/2,541.44
  6. Step 6: Final answer
    x = 2,286.74

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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.