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Finding the Fourth Proportional to 1,633.16, 2,250.64 and 1,603.16

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Solution

The fourth proportional to 1,633.16, 2,250.64 and 1,603.16 is: 2,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.16 : 2,250.64 = 1,603.16 : x
  2. Step 2: Convert to fraction form
    1,633.16/2,250.64 = 1,603.16/x
  3. Step 3: Cross multiply
    1,633.16x = 2,250.64 × 1,603.16
  4. Step 4: Simplify right side
    1,633.16x = 3,608,136.02
  5. Step 5: Solve for x
    x = 3,608,136.02/1,633.16
  6. Step 6: Final answer
    x = 2,209.30

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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.