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Finding the Fourth Proportional to 2,544.50, 3,511.41 and 1,440.50

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Solution

The fourth proportional to 2,544.50, 3,511.41 and 1,440.50 is: 1,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.50 : 3,511.41 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    2,544.50/3,511.41 = 1,440.50/x
  3. Step 3: Cross multiply
    2,544.50x = 3,511.41 × 1,440.50
  4. Step 4: Simplify right side
    2,544.50x = 5,058,186.11
  5. Step 5: Solve for x
    x = 5,058,186.11/2,544.50
  6. Step 6: Final answer
    x = 1,987.89

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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.