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Finding the Fourth Proportional to 2,654.12, 3,662.70 and 1,475.30

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Solution

The fourth proportional to 2,654.12, 3,662.70 and 1,475.30 is: 2,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.12 : 3,662.70 = 1,475.30 : x
  2. Step 2: Convert to fraction form
    2,654.12/3,662.70 = 1,475.30/x
  3. Step 3: Cross multiply
    2,654.12x = 3,662.70 × 1,475.30
  4. Step 4: Simplify right side
    2,654.12x = 5,403,581.31
  5. Step 5: Solve for x
    x = 5,403,581.31/2,654.12
  6. Step 6: Final answer
    x = 2,035.92

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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.