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Finding the Fourth Proportional to 2,196.07, 3,294.14 and 735.23

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Solution

The fourth proportional to 2,196.07, 3,294.14 and 735.23 is: 1,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.07 : 3,294.14 = 735.23 : x
  2. Step 2: Convert to fraction form
    2,196.07/3,294.14 = 735.23/x
  3. Step 3: Cross multiply
    2,196.07x = 3,294.14 × 735.23
  4. Step 4: Simplify right side
    2,196.07x = 2,421,950.55
  5. Step 5: Solve for x
    x = 2,421,950.55/2,196.07
  6. Step 6: Final answer
    x = 1,102.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.