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Finding the Fourth Proportional to 2,651.72, 3,660.74 and 1,869.26

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Solution

The fourth proportional to 2,651.72, 3,660.74 and 1,869.26 is: 2,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.72 : 3,660.74 = 1,869.26 : x
  2. Step 2: Convert to fraction form
    2,651.72/3,660.74 = 1,869.26/x
  3. Step 3: Cross multiply
    2,651.72x = 3,660.74 × 1,869.26
  4. Step 4: Simplify right side
    2,651.72x = 6,842,847.20
  5. Step 5: Solve for x
    x = 6,842,847.20/2,651.72
  6. Step 6: Final answer
    x = 2,580.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.