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Finding the Fourth Proportional to 2,062.35, 3,092.71 and 892.35

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Solution

The fourth proportional to 2,062.35, 3,092.71 and 892.35 is: 1,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.35 : 3,092.71 = 892.35 : x
  2. Step 2: Convert to fraction form
    2,062.35/3,092.71 = 892.35/x
  3. Step 3: Cross multiply
    2,062.35x = 3,092.71 × 892.35
  4. Step 4: Simplify right side
    2,062.35x = 2,759,779.77
  5. Step 5: Solve for x
    x = 2,759,779.77/2,062.35
  6. Step 6: Final answer
    x = 1,338.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.