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Finding the Fourth Proportional to 2,599.66, 3,895.09 and 1,571.50

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Solution

The fourth proportional to 2,599.66, 3,895.09 and 1,571.50 is: 2,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.66 : 3,895.09 = 1,571.50 : x
  2. Step 2: Convert to fraction form
    2,599.66/3,895.09 = 1,571.50/x
  3. Step 3: Cross multiply
    2,599.66x = 3,895.09 × 1,571.50
  4. Step 4: Simplify right side
    2,599.66x = 6,121,133.94
  5. Step 5: Solve for x
    x = 6,121,133.94/2,599.66
  6. Step 6: Final answer
    x = 2,354.59

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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.