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Finding the Fourth Proportional to 1,931.86, 2,667.36 and 1,186.82

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Solution

The fourth proportional to 1,931.86, 2,667.36 and 1,186.82 is: 1,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.86 : 2,667.36 = 1,186.82 : x
  2. Step 2: Convert to fraction form
    1,931.86/2,667.36 = 1,186.82/x
  3. Step 3: Cross multiply
    1,931.86x = 2,667.36 × 1,186.82
  4. Step 4: Simplify right side
    1,931.86x = 3,165,676.20
  5. Step 5: Solve for x
    x = 3,165,676.20/1,931.86
  6. Step 6: Final answer
    x = 1,638.67

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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.