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Finding the Fourth Proportional to 1,844.23, 2,766.34 and 545.59

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Solution

The fourth proportional to 1,844.23, 2,766.34 and 545.59 is: 818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.23 : 2,766.34 = 545.59 : x
  2. Step 2: Convert to fraction form
    1,844.23/2,766.34 = 545.59/x
  3. Step 3: Cross multiply
    1,844.23x = 2,766.34 × 545.59
  4. Step 4: Simplify right side
    1,844.23x = 1,509,284.71
  5. Step 5: Solve for x
    x = 1,509,284.71/1,844.23
  6. Step 6: Final answer
    x = 818.38

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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.