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Finding the Fourth Proportional to 2,167.25, 2,990.09 and 1,381.55

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Solution

The fourth proportional to 2,167.25, 2,990.09 and 1,381.55 is: 1,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.25 : 2,990.09 = 1,381.55 : x
  2. Step 2: Convert to fraction form
    2,167.25/2,990.09 = 1,381.55/x
  3. Step 3: Cross multiply
    2,167.25x = 2,990.09 × 1,381.55
  4. Step 4: Simplify right side
    2,167.25x = 4,130,947.34
  5. Step 5: Solve for x
    x = 4,130,947.34/2,167.25
  6. Step 6: Final answer
    x = 1,906.08

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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.