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Finding the Fourth Proportional to 2,160.81, 2,981.94 and 1,264.34

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Solution

The fourth proportional to 2,160.81, 2,981.94 and 1,264.34 is: 1,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.81 : 2,981.94 = 1,264.34 : x
  2. Step 2: Convert to fraction form
    2,160.81/2,981.94 = 1,264.34/x
  3. Step 3: Cross multiply
    2,160.81x = 2,981.94 × 1,264.34
  4. Step 4: Simplify right side
    2,160.81x = 3,770,179.17
  5. Step 5: Solve for x
    x = 3,770,179.17/2,160.81
  6. Step 6: Final answer
    x = 1,744.80

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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.