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Finding the Fourth Proportional to 2,068.50, 3,102.08 and 681.51

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Solution

The fourth proportional to 2,068.50, 3,102.08 and 681.51 is: 1,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.50 : 3,102.08 = 681.51 : x
  2. Step 2: Convert to fraction form
    2,068.50/3,102.08 = 681.51/x
  3. Step 3: Cross multiply
    2,068.50x = 3,102.08 × 681.51
  4. Step 4: Simplify right side
    2,068.50x = 2,114,098.54
  5. Step 5: Solve for x
    x = 2,114,098.54/2,068.50
  6. Step 6: Final answer
    x = 1,022.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.