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Finding the Fourth Proportional to 2,464.27, 3,693.90 and 2,104.63

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Solution

The fourth proportional to 2,464.27, 3,693.90 and 2,104.63 is: 3,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.27 : 3,693.90 = 2,104.63 : x
  2. Step 2: Convert to fraction form
    2,464.27/3,693.90 = 2,104.63/x
  3. Step 3: Cross multiply
    2,464.27x = 3,693.90 × 2,104.63
  4. Step 4: Simplify right side
    2,464.27x = 7,774,274.29
  5. Step 5: Solve for x
    x = 7,774,274.29/2,464.27
  6. Step 6: Final answer
    x = 3,154.80

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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.