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Finding the Fourth Proportional to 2,782.60, 4,163.10 and 1,810.60

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Solution

The fourth proportional to 2,782.60, 4,163.10 and 1,810.60 is: 2,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.60 : 4,163.10 = 1,810.60 : x
  2. Step 2: Convert to fraction form
    2,782.60/4,163.10 = 1,810.60/x
  3. Step 3: Cross multiply
    2,782.60x = 4,163.10 × 1,810.60
  4. Step 4: Simplify right side
    2,782.60x = 7,537,708.86
  5. Step 5: Solve for x
    x = 7,537,708.86/2,782.60
  6. Step 6: Final answer
    x = 2,708.87

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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.