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Finding the Fourth Proportional to 2,596.74, 3,900.99 and 1,503.78

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Solution

The fourth proportional to 2,596.74, 3,900.99 and 1,503.78 is: 2,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.74 : 3,900.99 = 1,503.78 : x
  2. Step 2: Convert to fraction form
    2,596.74/3,900.99 = 1,503.78/x
  3. Step 3: Cross multiply
    2,596.74x = 3,900.99 × 1,503.78
  4. Step 4: Simplify right side
    2,596.74x = 5,866,230.74
  5. Step 5: Solve for x
    x = 5,866,230.74/2,596.74
  6. Step 6: Final answer
    x = 2,259.08

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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.