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Finding the Fourth Proportional to 2,611.96, 3,605.10 and 1,667.50

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Solution

The fourth proportional to 2,611.96, 3,605.10 and 1,667.50 is: 2,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.96 : 3,605.10 = 1,667.50 : x
  2. Step 2: Convert to fraction form
    2,611.96/3,605.10 = 1,667.50/x
  3. Step 3: Cross multiply
    2,611.96x = 3,605.10 × 1,667.50
  4. Step 4: Simplify right side
    2,611.96x = 6,011,504.25
  5. Step 5: Solve for x
    x = 6,011,504.25/2,611.96
  6. Step 6: Final answer
    x = 2,301.53

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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.