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Finding the Fourth Proportional to 2,545.85, 3,817.55 and 1,230.20

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Solution

The fourth proportional to 2,545.85, 3,817.55 and 1,230.20 is: 1,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.85 : 3,817.55 = 1,230.20 : x
  2. Step 2: Convert to fraction form
    2,545.85/3,817.55 = 1,230.20/x
  3. Step 3: Cross multiply
    2,545.85x = 3,817.55 × 1,230.20
  4. Step 4: Simplify right side
    2,545.85x = 4,696,362.63
  5. Step 5: Solve for x
    x = 4,696,362.63/2,545.85
  6. Step 6: Final answer
    x = 1,844.72

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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.