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Finding the Fourth Proportional to 3,095.78, 4,639.12 and 2,270.19

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Solution

The fourth proportional to 3,095.78, 4,639.12 and 2,270.19 is: 3,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.78 : 4,639.12 = 2,270.19 : x
  2. Step 2: Convert to fraction form
    3,095.78/4,639.12 = 2,270.19/x
  3. Step 3: Cross multiply
    3,095.78x = 4,639.12 × 2,270.19
  4. Step 4: Simplify right side
    3,095.78x = 10,531,683.83
  5. Step 5: Solve for x
    x = 10,531,683.83/3,095.78
  6. Step 6: Final answer
    x = 3,401.95

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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.