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Finding the Fourth Proportional to 2,748.51, 3,781.62 and 2,416.37

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Solution

The fourth proportional to 2,748.51, 3,781.62 and 2,416.37 is: 3,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.51 : 3,781.62 = 2,416.37 : x
  2. Step 2: Convert to fraction form
    2,748.51/3,781.62 = 2,416.37/x
  3. Step 3: Cross multiply
    2,748.51x = 3,781.62 × 2,416.37
  4. Step 4: Simplify right side
    2,748.51x = 9,137,774.21
  5. Step 5: Solve for x
    x = 9,137,774.21/2,748.51
  6. Step 6: Final answer
    x = 3,324.63

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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.