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Finding the Fourth Proportional to 3,092.77, 4,268.08 and 1,748.11

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Solution

The fourth proportional to 3,092.77, 4,268.08 and 1,748.11 is: 2,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.77 : 4,268.08 = 1,748.11 : x
  2. Step 2: Convert to fraction form
    3,092.77/4,268.08 = 1,748.11/x
  3. Step 3: Cross multiply
    3,092.77x = 4,268.08 × 1,748.11
  4. Step 4: Simplify right side
    3,092.77x = 7,461,043.25
  5. Step 5: Solve for x
    x = 7,461,043.25/3,092.77
  6. Step 6: Final answer
    x = 2,412.41

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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.