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Finding the Fourth Proportional to 2,545.24, 3,817.67 and 790.20

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Solution

The fourth proportional to 2,545.24, 3,817.67 and 790.20 is: 1,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.24 : 3,817.67 = 790.20 : x
  2. Step 2: Convert to fraction form
    2,545.24/3,817.67 = 790.20/x
  3. Step 3: Cross multiply
    2,545.24x = 3,817.67 × 790.20
  4. Step 4: Simplify right side
    2,545.24x = 3,016,715.92
  5. Step 5: Solve for x
    x = 3,016,715.92/2,545.24
  6. Step 6: Final answer
    x = 1,185.24

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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.