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Finding the Fourth Proportional to 1,683.64, 2,323.38 and 1,633.96

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Solution

The fourth proportional to 1,683.64, 2,323.38 and 1,633.96 is: 2,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.64 : 2,323.38 = 1,633.96 : x
  2. Step 2: Convert to fraction form
    1,683.64/2,323.38 = 1,633.96/x
  3. Step 3: Cross multiply
    1,683.64x = 2,323.38 × 1,633.96
  4. Step 4: Simplify right side
    1,683.64x = 3,796,309.98
  5. Step 5: Solve for x
    x = 3,796,309.98/1,683.64
  6. Step 6: Final answer
    x = 2,254.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.