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Finding the Fourth Proportional to 2,269.84, 3,400.25 and 1,748.03

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Solution

The fourth proportional to 2,269.84, 3,400.25 and 1,748.03 is: 2,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.84 : 3,400.25 = 1,748.03 : x
  2. Step 2: Convert to fraction form
    2,269.84/3,400.25 = 1,748.03/x
  3. Step 3: Cross multiply
    2,269.84x = 3,400.25 × 1,748.03
  4. Step 4: Simplify right side
    2,269.84x = 5,943,747.14
  5. Step 5: Solve for x
    x = 5,943,747.14/2,269.84
  6. Step 6: Final answer
    x = 2,618.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.