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Finding the Fourth Proportional to 2,662.88, 3,674.61 and 1,484

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Solution

The fourth proportional to 2,662.88, 3,674.61 and 1,484 is: 2,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.88 : 3,674.61 = 1,484 : x
  2. Step 2: Convert to fraction form
    2,662.88/3,674.61 = 1,484/x
  3. Step 3: Cross multiply
    2,662.88x = 3,674.61 × 1,484
  4. Step 4: Simplify right side
    2,662.88x = 5,453,121.24
  5. Step 5: Solve for x
    x = 5,453,121.24/2,662.88
  6. Step 6: Final answer
    x = 2,047.83

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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.