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Finding the Fourth Proportional to 1,747.55, 2,412.78 and 1,216.28

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Solution

The fourth proportional to 1,747.55, 2,412.78 and 1,216.28 is: 1,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.55 : 2,412.78 = 1,216.28 : x
  2. Step 2: Convert to fraction form
    1,747.55/2,412.78 = 1,216.28/x
  3. Step 3: Cross multiply
    1,747.55x = 2,412.78 × 1,216.28
  4. Step 4: Simplify right side
    1,747.55x = 2,934,616.06
  5. Step 5: Solve for x
    x = 2,934,616.06/1,747.55
  6. Step 6: Final answer
    x = 1,679.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.