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Finding the Fourth Proportional to 2,544.64, 3,511.68 and 1,550.24

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Solution

The fourth proportional to 2,544.64, 3,511.68 and 1,550.24 is: 2,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.64 : 3,511.68 = 1,550.24 : x
  2. Step 2: Convert to fraction form
    2,544.64/3,511.68 = 1,550.24/x
  3. Step 3: Cross multiply
    2,544.64x = 3,511.68 × 1,550.24
  4. Step 4: Simplify right side
    2,544.64x = 5,443,946.80
  5. Step 5: Solve for x
    x = 5,443,946.80/2,544.64
  6. Step 6: Final answer
    x = 2,139.38

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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.