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Finding the Fourth Proportional to 2,599.50, 3,900.47 and 1,504.79

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Solution

The fourth proportional to 2,599.50, 3,900.47 and 1,504.79 is: 2,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.50 : 3,900.47 = 1,504.79 : x
  2. Step 2: Convert to fraction form
    2,599.50/3,900.47 = 1,504.79/x
  3. Step 3: Cross multiply
    2,599.50x = 3,900.47 × 1,504.79
  4. Step 4: Simplify right side
    2,599.50x = 5,869,378.50
  5. Step 5: Solve for x
    x = 5,869,378.50/2,599.50
  6. Step 6: Final answer
    x = 2,257.89

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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.