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Finding the Fourth Proportional to 2,111.67, 3,166.29 and 1,246.59

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Solution

The fourth proportional to 2,111.67, 3,166.29 and 1,246.59 is: 1,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.67 : 3,166.29 = 1,246.59 : x
  2. Step 2: Convert to fraction form
    2,111.67/3,166.29 = 1,246.59/x
  3. Step 3: Cross multiply
    2,111.67x = 3,166.29 × 1,246.59
  4. Step 4: Simplify right side
    2,111.67x = 3,947,065.45
  5. Step 5: Solve for x
    x = 3,947,065.45/2,111.67
  6. Step 6: Final answer
    x = 1,869.17

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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.