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Finding the Fourth Proportional to 2,167.46, 2,991 and 1,381.76

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Solution

The fourth proportional to 2,167.46, 2,991 and 1,381.76 is: 1,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.46 : 2,991 = 1,381.76 : x
  2. Step 2: Convert to fraction form
    2,167.46/2,991 = 1,381.76/x
  3. Step 3: Cross multiply
    2,167.46x = 2,991 × 1,381.76
  4. Step 4: Simplify right side
    2,167.46x = 4,132,844.16
  5. Step 5: Solve for x
    x = 4,132,844.16/2,167.46
  6. Step 6: Final answer
    x = 1,906.77

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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.