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Finding the Fourth Proportional to 2,565.94, 3,821.22 and 2,399.87

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Solution

The fourth proportional to 2,565.94, 3,821.22 and 2,399.87 is: 3,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.94 : 3,821.22 = 2,399.87 : x
  2. Step 2: Convert to fraction form
    2,565.94/3,821.22 = 2,399.87/x
  3. Step 3: Cross multiply
    2,565.94x = 3,821.22 × 2,399.87
  4. Step 4: Simplify right side
    2,565.94x = 9,170,431.24
  5. Step 5: Solve for x
    x = 9,170,431.24/2,565.94
  6. Step 6: Final answer
    x = 3,573.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.