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Finding the Fourth Proportional to 2,873.42, 4,311.82 and 1,642.58

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Solution

The fourth proportional to 2,873.42, 4,311.82 and 1,642.58 is: 2,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.42 : 4,311.82 = 1,642.58 : x
  2. Step 2: Convert to fraction form
    2,873.42/4,311.82 = 1,642.58/x
  3. Step 3: Cross multiply
    2,873.42x = 4,311.82 × 1,642.58
  4. Step 4: Simplify right side
    2,873.42x = 7,082,509.30
  5. Step 5: Solve for x
    x = 7,082,509.30/2,873.42
  6. Step 6: Final answer
    x = 2,464.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.