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Finding the Fourth Proportional to 1,778.41, 2,669.01 and 1,234.42

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Solution

The fourth proportional to 1,778.41, 2,669.01 and 1,234.42 is: 1,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.41 : 2,669.01 = 1,234.42 : x
  2. Step 2: Convert to fraction form
    1,778.41/2,669.01 = 1,234.42/x
  3. Step 3: Cross multiply
    1,778.41x = 2,669.01 × 1,234.42
  4. Step 4: Simplify right side
    1,778.41x = 3,294,679.32
  5. Step 5: Solve for x
    x = 3,294,679.32/1,778.41
  6. Step 6: Final answer
    x = 1,852.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.