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Finding the Fourth Proportional to 2,372.67, 3,274.38 and 1,782.18

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Solution

The fourth proportional to 2,372.67, 3,274.38 and 1,782.18 is: 2,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.67 : 3,274.38 = 1,782.18 : x
  2. Step 2: Convert to fraction form
    2,372.67/3,274.38 = 1,782.18/x
  3. Step 3: Cross multiply
    2,372.67x = 3,274.38 × 1,782.18
  4. Step 4: Simplify right side
    2,372.67x = 5,835,534.55
  5. Step 5: Solve for x
    x = 5,835,534.55/2,372.67
  6. Step 6: Final answer
    x = 2,459.48

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Why These Related Problems?

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