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Finding the Fourth Proportional to 1,228.77, 1,841.81 and 918.81

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Solution

The fourth proportional to 1,228.77, 1,841.81 and 918.81 is: 1,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.77 : 1,841.81 = 918.81 : x
  2. Step 2: Convert to fraction form
    1,228.77/1,841.81 = 918.81/x
  3. Step 3: Cross multiply
    1,228.77x = 1,841.81 × 918.81
  4. Step 4: Simplify right side
    1,228.77x = 1,692,268.85
  5. Step 5: Solve for x
    x = 1,692,268.85/1,228.77
  6. Step 6: Final answer
    x = 1,377.21

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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.