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Finding the Fourth Proportional to 1,667.10, 2,499.12 and 1,016.40

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Solution

The fourth proportional to 1,667.10, 2,499.12 and 1,016.40 is: 1,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.10 : 2,499.12 = 1,016.40 : x
  2. Step 2: Convert to fraction form
    1,667.10/2,499.12 = 1,016.40/x
  3. Step 3: Cross multiply
    1,667.10x = 2,499.12 × 1,016.40
  4. Step 4: Simplify right side
    1,667.10x = 2,540,105.57
  5. Step 5: Solve for x
    x = 2,540,105.57/1,667.10
  6. Step 6: Final answer
    x = 1,523.67

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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.