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Finding the Fourth Proportional to 2,549.44, 3,516.42 and 1,792

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Solution

The fourth proportional to 2,549.44, 3,516.42 and 1,792 is: 2,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.44 : 3,516.42 = 1,792 : x
  2. Step 2: Convert to fraction form
    2,549.44/3,516.42 = 1,792/x
  3. Step 3: Cross multiply
    2,549.44x = 3,516.42 × 1,792
  4. Step 4: Simplify right side
    2,549.44x = 6,301,424.64
  5. Step 5: Solve for x
    x = 6,301,424.64/2,549.44
  6. Step 6: Final answer
    x = 2,471.69

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Why These Related Problems?

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