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Finding the Fourth Proportional to 2,544.14, 3,813.88 and 983.15

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Solution

The fourth proportional to 2,544.14, 3,813.88 and 983.15 is: 1,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.14 : 3,813.88 = 983.15 : x
  2. Step 2: Convert to fraction form
    2,544.14/3,813.88 = 983.15/x
  3. Step 3: Cross multiply
    2,544.14x = 3,813.88 × 983.15
  4. Step 4: Simplify right side
    2,544.14x = 3,749,616.12
  5. Step 5: Solve for x
    x = 3,749,616.12/2,544.14
  6. Step 6: Final answer
    x = 1,473.82

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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.