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Finding the Fourth Proportional to 2,357.28, 3,245.64 and 2,002.46

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Solution

The fourth proportional to 2,357.28, 3,245.64 and 2,002.46 is: 2,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.28 : 3,245.64 = 2,002.46 : x
  2. Step 2: Convert to fraction form
    2,357.28/3,245.64 = 2,002.46/x
  3. Step 3: Cross multiply
    2,357.28x = 3,245.64 × 2,002.46
  4. Step 4: Simplify right side
    2,357.28x = 6,499,248.05
  5. Step 5: Solve for x
    x = 6,499,248.05/2,357.28
  6. Step 6: Final answer
    x = 2,757.10

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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.