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Finding the Fourth Proportional to 2,597.00, 3,896.91 and 1,503.50

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Solution

The fourth proportional to 2,597.00, 3,896.91 and 1,503.50 is: 2,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.00 : 3,896.91 = 1,503.50 : x
  2. Step 2: Convert to fraction form
    2,597.00/3,896.91 = 1,503.50/x
  3. Step 3: Cross multiply
    2,597.00x = 3,896.91 × 1,503.50
  4. Step 4: Simplify right side
    2,597.00x = 5,858,984.70
  5. Step 5: Solve for x
    x = 5,858,984.70/2,597.00
  6. Step 6: Final answer
    x = 2,256.06

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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.