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Finding the Fourth Proportional to 2,061.62, 2,842.17 and 1,745.63

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Solution

The fourth proportional to 2,061.62, 2,842.17 and 1,745.63 is: 2,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.62 : 2,842.17 = 1,745.63 : x
  2. Step 2: Convert to fraction form
    2,061.62/2,842.17 = 1,745.63/x
  3. Step 3: Cross multiply
    2,061.62x = 2,842.17 × 1,745.63
  4. Step 4: Simplify right side
    2,061.62x = 4,961,377.22
  5. Step 5: Solve for x
    x = 4,961,377.22/2,061.62
  6. Step 6: Final answer
    x = 2,406.54

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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.