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Finding the Fourth Proportional to 2,086.81, 3,131.06 and 916.21

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Solution

The fourth proportional to 2,086.81, 3,131.06 and 916.21 is: 1,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.81 : 3,131.06 = 916.21 : x
  2. Step 2: Convert to fraction form
    2,086.81/3,131.06 = 916.21/x
  3. Step 3: Cross multiply
    2,086.81x = 3,131.06 × 916.21
  4. Step 4: Simplify right side
    2,086.81x = 2,868,707.82
  5. Step 5: Solve for x
    x = 2,868,707.82/2,086.81
  6. Step 6: Final answer
    x = 1,374.68

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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.