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Finding the Fourth Proportional to 1,778.45, 2,454.25 and 992.50

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Solution

The fourth proportional to 1,778.45, 2,454.25 and 992.50 is: 1,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.45 : 2,454.25 = 992.50 : x
  2. Step 2: Convert to fraction form
    1,778.45/2,454.25 = 992.50/x
  3. Step 3: Cross multiply
    1,778.45x = 2,454.25 × 992.50
  4. Step 4: Simplify right side
    1,778.45x = 2,435,843.13
  5. Step 5: Solve for x
    x = 2,435,843.13/1,778.45
  6. Step 6: Final answer
    x = 1,369.64

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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.