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Finding the Fourth Proportional to 1,697.23, 2,543.02 and 1,633.24

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Solution

The fourth proportional to 1,697.23, 2,543.02 and 1,633.24 is: 2,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.23 : 2,543.02 = 1,633.24 : x
  2. Step 2: Convert to fraction form
    1,697.23/2,543.02 = 1,633.24/x
  3. Step 3: Cross multiply
    1,697.23x = 2,543.02 × 1,633.24
  4. Step 4: Simplify right side
    1,697.23x = 4,153,361.98
  5. Step 5: Solve for x
    x = 4,153,361.98/1,697.23
  6. Step 6: Final answer
    x = 2,447.14

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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.