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Finding the Fourth Proportional to 2,438.71, 3,653.47 and 1,204.68

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Solution

The fourth proportional to 2,438.71, 3,653.47 and 1,204.68 is: 1,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.71 : 3,653.47 = 1,204.68 : x
  2. Step 2: Convert to fraction form
    2,438.71/3,653.47 = 1,204.68/x
  3. Step 3: Cross multiply
    2,438.71x = 3,653.47 × 1,204.68
  4. Step 4: Simplify right side
    2,438.71x = 4,401,262.24
  5. Step 5: Solve for x
    x = 4,401,262.24/2,438.71
  6. Step 6: Final answer
    x = 1,804.75

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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.