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Finding the Fourth Proportional to 1,357.25, 2,035.80 and 918.68

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Solution

The fourth proportional to 1,357.25, 2,035.80 and 918.68 is: 1,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.25 : 2,035.80 = 918.68 : x
  2. Step 2: Convert to fraction form
    1,357.25/2,035.80 = 918.68/x
  3. Step 3: Cross multiply
    1,357.25x = 2,035.80 × 918.68
  4. Step 4: Simplify right side
    1,357.25x = 1,870,238.57
  5. Step 5: Solve for x
    x = 1,870,238.57/1,357.25
  6. Step 6: Final answer
    x = 1,377.97

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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.