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Finding the Fourth Proportional to 1,842.77, 2,539.82 and 1,605.24

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Solution

The fourth proportional to 1,842.77, 2,539.82 and 1,605.24 is: 2,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.77 : 2,539.82 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    1,842.77/2,539.82 = 1,605.24/x
  3. Step 3: Cross multiply
    1,842.77x = 2,539.82 × 1,605.24
  4. Step 4: Simplify right side
    1,842.77x = 4,077,024.67
  5. Step 5: Solve for x
    x = 4,077,024.67/1,842.77
  6. Step 6: Final answer
    x = 2,212.44

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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.