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Finding the Fourth Proportional to 2,196.34, 3,293.78 and 735.10

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Solution

The fourth proportional to 2,196.34, 3,293.78 and 735.10 is: 1,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.34 : 3,293.78 = 735.10 : x
  2. Step 2: Convert to fraction form
    2,196.34/3,293.78 = 735.10/x
  3. Step 3: Cross multiply
    2,196.34x = 3,293.78 × 735.10
  4. Step 4: Simplify right side
    2,196.34x = 2,421,257.68
  5. Step 5: Solve for x
    x = 2,421,257.68/2,196.34
  6. Step 6: Final answer
    x = 1,102.41

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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.