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Finding the Fourth Proportional to 2,545.95, 3,815.72 and 1,450.93

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Solution

The fourth proportional to 2,545.95, 3,815.72 and 1,450.93 is: 2,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.95 : 3,815.72 = 1,450.93 : x
  2. Step 2: Convert to fraction form
    2,545.95/3,815.72 = 1,450.93/x
  3. Step 3: Cross multiply
    2,545.95x = 3,815.72 × 1,450.93
  4. Step 4: Simplify right side
    2,545.95x = 5,536,342.62
  5. Step 5: Solve for x
    x = 5,536,342.62/2,545.95
  6. Step 6: Final answer
    x = 2,174.57

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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.