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Finding the Fourth Proportional to 2,863.45, 4,289.10 and 2,316.70

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Solution

The fourth proportional to 2,863.45, 4,289.10 and 2,316.70 is: 3,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.45 : 4,289.10 = 2,316.70 : x
  2. Step 2: Convert to fraction form
    2,863.45/4,289.10 = 2,316.70/x
  3. Step 3: Cross multiply
    2,863.45x = 4,289.10 × 2,316.70
  4. Step 4: Simplify right side
    2,863.45x = 9,936,557.97
  5. Step 5: Solve for x
    x = 9,936,557.97/2,863.45
  6. Step 6: Final answer
    x = 3,470.13

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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.