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Finding the Fourth Proportional to 2,513.50, 3,772.60 and 1,281.80

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Solution

The fourth proportional to 2,513.50, 3,772.60 and 1,281.80 is: 1,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.50 : 3,772.60 = 1,281.80 : x
  2. Step 2: Convert to fraction form
    2,513.50/3,772.60 = 1,281.80/x
  3. Step 3: Cross multiply
    2,513.50x = 3,772.60 × 1,281.80
  4. Step 4: Simplify right side
    2,513.50x = 4,835,718.68
  5. Step 5: Solve for x
    x = 4,835,718.68/2,513.50
  6. Step 6: Final answer
    x = 1,923.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.