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Finding the Fourth Proportional to 2,561.40, 3,536.94 and 2,215.80

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Solution

The fourth proportional to 2,561.40, 3,536.94 and 2,215.80 is: 3,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.40 : 3,536.94 = 2,215.80 : x
  2. Step 2: Convert to fraction form
    2,561.40/3,536.94 = 2,215.80/x
  3. Step 3: Cross multiply
    2,561.40x = 3,536.94 × 2,215.80
  4. Step 4: Simplify right side
    2,561.40x = 7,837,151.65
  5. Step 5: Solve for x
    x = 7,837,151.65/2,561.40
  6. Step 6: Final answer
    x = 3,059.71

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