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Finding the Fourth Proportional to 2,065.20, 3,092.66 and 1,446

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Solution

The fourth proportional to 2,065.20, 3,092.66 and 1,446 is: 2,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.20 : 3,092.66 = 1,446 : x
  2. Step 2: Convert to fraction form
    2,065.20/3,092.66 = 1,446/x
  3. Step 3: Cross multiply
    2,065.20x = 3,092.66 × 1,446
  4. Step 4: Simplify right side
    2,065.20x = 4,471,986.36
  5. Step 5: Solve for x
    x = 4,471,986.36/2,065.20
  6. Step 6: Final answer
    x = 2,165.40

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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.