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Finding the Fourth Proportional to 1,841.57, 2,762.36 and 918.27

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Solution

The fourth proportional to 1,841.57, 2,762.36 and 918.27 is: 1,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.57 : 2,762.36 = 918.27 : x
  2. Step 2: Convert to fraction form
    1,841.57/2,762.36 = 918.27/x
  3. Step 3: Cross multiply
    1,841.57x = 2,762.36 × 918.27
  4. Step 4: Simplify right side
    1,841.57x = 2,536,587.73
  5. Step 5: Solve for x
    x = 2,536,587.73/1,841.57
  6. Step 6: Final answer
    x = 1,377.41

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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.