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Finding the Fourth Proportional to 1,778.39, 2,453.06 and 1,280.24

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Solution

The fourth proportional to 1,778.39, 2,453.06 and 1,280.24 is: 1,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.39 : 2,453.06 = 1,280.24 : x
  2. Step 2: Convert to fraction form
    1,778.39/2,453.06 = 1,280.24/x
  3. Step 3: Cross multiply
    1,778.39x = 2,453.06 × 1,280.24
  4. Step 4: Simplify right side
    1,778.39x = 3,140,496.47
  5. Step 5: Solve for x
    x = 3,140,496.47/1,778.39
  6. Step 6: Final answer
    x = 1,765.93

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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.