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Finding the Fourth Proportional to 3,482.64, 4,808.30 and 2,157.75

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Solution

The fourth proportional to 3,482.64, 4,808.30 and 2,157.75 is: 2,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 4,808.30 = 2,157.75 : x
  2. Step 2: Convert to fraction form
    3,482.64/4,808.30 = 2,157.75/x
  3. Step 3: Cross multiply
    3,482.64x = 4,808.30 × 2,157.75
  4. Step 4: Simplify right side
    3,482.64x = 10,375,098.54
  5. Step 5: Solve for x
    x = 10,375,098.54/3,482.64
  6. Step 6: Final answer
    x = 2,979.09

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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.