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Finding the Fourth Proportional to 2,561.50, 3,509.27 and 2,465.51

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Solution

The fourth proportional to 2,561.50, 3,509.27 and 2,465.51 is: 3,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.50 : 3,509.27 = 2,465.51 : x
  2. Step 2: Convert to fraction form
    2,561.50/3,509.27 = 2,465.51/x
  3. Step 3: Cross multiply
    2,561.50x = 3,509.27 × 2,465.51
  4. Step 4: Simplify right side
    2,561.50x = 8,652,138.07
  5. Step 5: Solve for x
    x = 8,652,138.07/2,561.50
  6. Step 6: Final answer
    x = 3,377.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.