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Finding the Fourth Proportional to 1,834.16, 2,754.56 and 1,687.64

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Solution

The fourth proportional to 1,834.16, 2,754.56 and 1,687.64 is: 2,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.16 : 2,754.56 = 1,687.64 : x
  2. Step 2: Convert to fraction form
    1,834.16/2,754.56 = 1,687.64/x
  3. Step 3: Cross multiply
    1,834.16x = 2,754.56 × 1,687.64
  4. Step 4: Simplify right side
    1,834.16x = 4,648,705.64
  5. Step 5: Solve for x
    x = 4,648,705.64/1,834.16
  6. Step 6: Final answer
    x = 2,534.51

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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.