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Finding the Fourth Proportional to 2,662.98, 3,674.90 and 1,544.57

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Solution

The fourth proportional to 2,662.98, 3,674.90 and 1,544.57 is: 2,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.98 : 3,674.90 = 1,544.57 : x
  2. Step 2: Convert to fraction form
    2,662.98/3,674.90 = 1,544.57/x
  3. Step 3: Cross multiply
    2,662.98x = 3,674.90 × 1,544.57
  4. Step 4: Simplify right side
    2,662.98x = 5,676,140.29
  5. Step 5: Solve for x
    x = 5,676,140.29/2,662.98
  6. Step 6: Final answer
    x = 2,131.50

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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.