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Finding the Fourth Proportional to 1,983.60, 2,975.40 and 1,256.40

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Solution

The fourth proportional to 1,983.60, 2,975.40 and 1,256.40 is: 1,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.60 : 2,975.40 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    1,983.60/2,975.40 = 1,256.40/x
  3. Step 3: Cross multiply
    1,983.60x = 2,975.40 × 1,256.40
  4. Step 4: Simplify right side
    1,983.60x = 3,738,292.56
  5. Step 5: Solve for x
    x = 3,738,292.56/1,983.60
  6. Step 6: Final answer
    x = 1,884.60

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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.