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Finding the Fourth Proportional to 2,604.44, 3,904.40 and 2,459.46

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Solution

The fourth proportional to 2,604.44, 3,904.40 and 2,459.46 is: 3,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.44 : 3,904.40 = 2,459.46 : x
  2. Step 2: Convert to fraction form
    2,604.44/3,904.40 = 2,459.46/x
  3. Step 3: Cross multiply
    2,604.44x = 3,904.40 × 2,459.46
  4. Step 4: Simplify right side
    2,604.44x = 9,602,715.62
  5. Step 5: Solve for x
    x = 9,602,715.62/2,604.44
  6. Step 6: Final answer
    x = 3,687.06

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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.