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Finding the Fourth Proportional to 2,596.70, 3,899.10 and 1,503.20

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Solution

The fourth proportional to 2,596.70, 3,899.10 and 1,503.20 is: 2,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.70 : 3,899.10 = 1,503.20 : x
  2. Step 2: Convert to fraction form
    2,596.70/3,899.10 = 1,503.20/x
  3. Step 3: Cross multiply
    2,596.70x = 3,899.10 × 1,503.20
  4. Step 4: Simplify right side
    2,596.70x = 5,861,127.12
  5. Step 5: Solve for x
    x = 5,861,127.12/2,596.70
  6. Step 6: Final answer
    x = 2,257.14

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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.