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Finding the Fourth Proportional to 3,782.60, 5,671.20 and 1,700.90

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Solution

The fourth proportional to 3,782.60, 5,671.20 and 1,700.90 is: 2,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.60 : 5,671.20 = 1,700.90 : x
  2. Step 2: Convert to fraction form
    3,782.60/5,671.20 = 1,700.90/x
  3. Step 3: Cross multiply
    3,782.60x = 5,671.20 × 1,700.90
  4. Step 4: Simplify right side
    3,782.60x = 9,646,144.08
  5. Step 5: Solve for x
    x = 9,646,144.08/3,782.60
  6. Step 6: Final answer
    x = 2,550.14

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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.