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Finding the Fourth Proportional to 2,782.87, 4,167.67 and 1,610.40

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Solution

The fourth proportional to 2,782.87, 4,167.67 and 1,610.40 is: 2,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.87 : 4,167.67 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    2,782.87/4,167.67 = 1,610.40/x
  3. Step 3: Cross multiply
    2,782.87x = 4,167.67 × 1,610.40
  4. Step 4: Simplify right side
    2,782.87x = 6,711,614.50
  5. Step 5: Solve for x
    x = 6,711,614.50/2,782.87
  6. Step 6: Final answer
    x = 2,411.76

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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.