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Finding the Fourth Proportional to 2,597.84, 3,896.77 and 748.96

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Solution

The fourth proportional to 2,597.84, 3,896.77 and 748.96 is: 1,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.84 : 3,896.77 = 748.96 : x
  2. Step 2: Convert to fraction form
    2,597.84/3,896.77 = 748.96/x
  3. Step 3: Cross multiply
    2,597.84x = 3,896.77 × 748.96
  4. Step 4: Simplify right side
    2,597.84x = 2,918,522.99
  5. Step 5: Solve for x
    x = 2,918,522.99/2,597.84
  6. Step 6: Final answer
    x = 1,123.44

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Similar ratio
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1.5x scale

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.