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Finding the Fourth Proportional to 2,626.71, 3,941.61 and 983.40

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Solution

The fourth proportional to 2,626.71, 3,941.61 and 983.40 is: 1,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.71 : 3,941.61 = 983.40 : x
  2. Step 2: Convert to fraction form
    2,626.71/3,941.61 = 983.40/x
  3. Step 3: Cross multiply
    2,626.71x = 3,941.61 × 983.40
  4. Step 4: Simplify right side
    2,626.71x = 3,876,179.27
  5. Step 5: Solve for x
    x = 3,876,179.27/2,626.71
  6. Step 6: Final answer
    x = 1,475.68

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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.