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Finding the Fourth Proportional to 3,104.73, 4,657.46 and 1,545.21

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Solution

The fourth proportional to 3,104.73, 4,657.46 and 1,545.21 is: 2,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.73 : 4,657.46 = 1,545.21 : x
  2. Step 2: Convert to fraction form
    3,104.73/4,657.46 = 1,545.21/x
  3. Step 3: Cross multiply
    3,104.73x = 4,657.46 × 1,545.21
  4. Step 4: Simplify right side
    3,104.73x = 7,196,746.04
  5. Step 5: Solve for x
    x = 7,196,746.04/3,104.73
  6. Step 6: Final answer
    x = 2,317.99

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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.