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Finding the Fourth Proportional to 1,783.89, 2,667.96 and 1,620.41

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Solution

The fourth proportional to 1,783.89, 2,667.96 and 1,620.41 is: 2,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.89 : 2,667.96 = 1,620.41 : x
  2. Step 2: Convert to fraction form
    1,783.89/2,667.96 = 1,620.41/x
  3. Step 3: Cross multiply
    1,783.89x = 2,667.96 × 1,620.41
  4. Step 4: Simplify right side
    1,783.89x = 4,323,175.72
  5. Step 5: Solve for x
    x = 4,323,175.72/1,783.89
  6. Step 6: Final answer
    x = 2,423.45

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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.