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Finding the Fourth Proportional to 1,778.89, 2,669.52 and 624.64

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Solution

The fourth proportional to 1,778.89, 2,669.52 and 624.64 is: 937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.89 : 2,669.52 = 624.64 : x
  2. Step 2: Convert to fraction form
    1,778.89/2,669.52 = 624.64/x
  3. Step 3: Cross multiply
    1,778.89x = 2,669.52 × 624.64
  4. Step 4: Simplify right side
    1,778.89x = 1,667,488.97
  5. Step 5: Solve for x
    x = 1,667,488.97/1,778.89
  6. Step 6: Final answer
    x = 937.38

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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.