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Finding the Fourth Proportional to 1,581, 2,181.89 and 991.94

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Solution

The fourth proportional to 1,581, 2,181.89 and 991.94 is: 1,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581 : 2,181.89 = 991.94 : x
  2. Step 2: Convert to fraction form
    1,581/2,181.89 = 991.94/x
  3. Step 3: Cross multiply
    1,581x = 2,181.89 × 991.94
  4. Step 4: Simplify right side
    1,581x = 2,164,288.10
  5. Step 5: Solve for x
    x = 2,164,288.10/1,581
  6. Step 6: Final answer
    x = 1,368.94

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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.