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Finding the Fourth Proportional to 2,544.78, 3,511.63 and 1,410.38

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Solution

The fourth proportional to 2,544.78, 3,511.63 and 1,410.38 is: 1,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.78 : 3,511.63 = 1,410.38 : x
  2. Step 2: Convert to fraction form
    2,544.78/3,511.63 = 1,410.38/x
  3. Step 3: Cross multiply
    2,544.78x = 3,511.63 × 1,410.38
  4. Step 4: Simplify right side
    2,544.78x = 4,952,732.72
  5. Step 5: Solve for x
    x = 4,952,732.72/2,544.78
  6. Step 6: Final answer
    x = 1,946.23

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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.