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Finding the Fourth Proportional to 4,512.57, 6,769.89 and 2,048.10

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Solution

The fourth proportional to 4,512.57, 6,769.89 and 2,048.10 is: 3,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.57 : 6,769.89 = 2,048.10 : x
  2. Step 2: Convert to fraction form
    4,512.57/6,769.89 = 2,048.10/x
  3. Step 3: Cross multiply
    4,512.57x = 6,769.89 × 2,048.10
  4. Step 4: Simplify right side
    4,512.57x = 13,865,411.71
  5. Step 5: Solve for x
    x = 13,865,411.71/4,512.57
  6. Step 6: Final answer
    x = 3,072.62

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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.