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Finding the Fourth Proportional to 1,778.54, 2,455.21 and 1,267.85

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Solution

The fourth proportional to 1,778.54, 2,455.21 and 1,267.85 is: 1,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.54 : 2,455.21 = 1,267.85 : x
  2. Step 2: Convert to fraction form
    1,778.54/2,455.21 = 1,267.85/x
  3. Step 3: Cross multiply
    1,778.54x = 2,455.21 × 1,267.85
  4. Step 4: Simplify right side
    1,778.54x = 3,112,822.55
  5. Step 5: Solve for x
    x = 3,112,822.55/1,778.54
  6. Step 6: Final answer
    x = 1,750.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.