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Finding the Fourth Proportional to 2,666.84, 3,674.34 and 1,991.72

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Solution

The fourth proportional to 2,666.84, 3,674.34 and 1,991.72 is: 2,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.84 : 3,674.34 = 1,991.72 : x
  2. Step 2: Convert to fraction form
    2,666.84/3,674.34 = 1,991.72/x
  3. Step 3: Cross multiply
    2,666.84x = 3,674.34 × 1,991.72
  4. Step 4: Simplify right side
    2,666.84x = 7,318,256.46
  5. Step 5: Solve for x
    x = 7,318,256.46/2,666.84
  6. Step 6: Final answer
    x = 2,744.17

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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.