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Finding the Fourth Proportional to 1,842.77, 2,764.29 and 611.05

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Solution

The fourth proportional to 1,842.77, 2,764.29 and 611.05 is: 916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.77 : 2,764.29 = 611.05 : x
  2. Step 2: Convert to fraction form
    1,842.77/2,764.29 = 611.05/x
  3. Step 3: Cross multiply
    1,842.77x = 2,764.29 × 611.05
  4. Step 4: Simplify right side
    1,842.77x = 1,689,119.40
  5. Step 5: Solve for x
    x = 1,689,119.40/1,842.77
  6. Step 6: Final answer
    x = 916.62

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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.