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Finding the Fourth Proportional to 1,603.26, 2,213.10 and 1,472.04

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Solution

The fourth proportional to 1,603.26, 2,213.10 and 1,472.04 is: 2,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.26 : 2,213.10 = 1,472.04 : x
  2. Step 2: Convert to fraction form
    1,603.26/2,213.10 = 1,472.04/x
  3. Step 3: Cross multiply
    1,603.26x = 2,213.10 × 1,472.04
  4. Step 4: Simplify right side
    1,603.26x = 3,257,771.72
  5. Step 5: Solve for x
    x = 3,257,771.72/1,603.26
  6. Step 6: Final answer
    x = 2,031.97

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