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Finding the Fourth Proportional to 2,544.40, 3,814.80 and 983.80

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Solution

The fourth proportional to 2,544.40, 3,814.80 and 983.80 is: 1,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.40 : 3,814.80 = 983.80 : x
  2. Step 2: Convert to fraction form
    2,544.40/3,814.80 = 983.80/x
  3. Step 3: Cross multiply
    2,544.40x = 3,814.80 × 983.80
  4. Step 4: Simplify right side
    2,544.40x = 3,753,000.24
  5. Step 5: Solve for x
    x = 3,753,000.24/2,544.40
  6. Step 6: Final answer
    x = 1,475.00

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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.