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Finding the Fourth Proportional to 2,137.80, 3,206.70 and 983.55

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Solution

The fourth proportional to 2,137.80, 3,206.70 and 983.55 is: 1,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.80 : 3,206.70 = 983.55 : x
  2. Step 2: Convert to fraction form
    2,137.80/3,206.70 = 983.55/x
  3. Step 3: Cross multiply
    2,137.80x = 3,206.70 × 983.55
  4. Step 4: Simplify right side
    2,137.80x = 3,153,949.79
  5. Step 5: Solve for x
    x = 3,153,949.79/2,137.80
  6. Step 6: Final answer
    x = 1,475.33

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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.