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Finding the Fourth Proportional to 2,539.64, 3,809.10 and 895.97

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Solution

The fourth proportional to 2,539.64, 3,809.10 and 895.97 is: 1,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.64 : 3,809.10 = 895.97 : x
  2. Step 2: Convert to fraction form
    2,539.64/3,809.10 = 895.97/x
  3. Step 3: Cross multiply
    2,539.64x = 3,809.10 × 895.97
  4. Step 4: Simplify right side
    2,539.64x = 3,412,820.28
  5. Step 5: Solve for x
    x = 3,412,820.28/2,539.64
  6. Step 6: Final answer
    x = 1,343.82

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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.