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Finding the Fourth Proportional to 3,092.96, 4,267.24 and 1,765.71

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Solution

The fourth proportional to 3,092.96, 4,267.24 and 1,765.71 is: 2,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.96 : 4,267.24 = 1,765.71 : x
  2. Step 2: Convert to fraction form
    3,092.96/4,267.24 = 1,765.71/x
  3. Step 3: Cross multiply
    3,092.96x = 4,267.24 × 1,765.71
  4. Step 4: Simplify right side
    3,092.96x = 7,534,699.51
  5. Step 5: Solve for x
    x = 7,534,699.51/3,092.96
  6. Step 6: Final answer
    x = 2,436.08

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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.