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Finding the Fourth Proportional to 1,778.96, 2,448.83 and 1,545.68

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Solution

The fourth proportional to 1,778.96, 2,448.83 and 1,545.68 is: 2,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.96 : 2,448.83 = 1,545.68 : x
  2. Step 2: Convert to fraction form
    1,778.96/2,448.83 = 1,545.68/x
  3. Step 3: Cross multiply
    1,778.96x = 2,448.83 × 1,545.68
  4. Step 4: Simplify right side
    1,778.96x = 3,785,117.54
  5. Step 5: Solve for x
    x = 3,785,117.54/1,778.96
  6. Step 6: Final answer
    x = 2,127.71

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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.