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Finding the Fourth Proportional to 2,662.02, 3,674.88 and 2,063.16

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Solution

The fourth proportional to 2,662.02, 3,674.88 and 2,063.16 is: 2,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.02 : 3,674.88 = 2,063.16 : x
  2. Step 2: Convert to fraction form
    2,662.02/3,674.88 = 2,063.16/x
  3. Step 3: Cross multiply
    2,662.02x = 3,674.88 × 2,063.16
  4. Step 4: Simplify right side
    2,662.02x = 7,581,865.42
  5. Step 5: Solve for x
    x = 7,581,865.42/2,662.02
  6. Step 6: Final answer
    x = 2,848.16

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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.