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Finding the Fourth Proportional to 2,196.37, 3,294.51 and 552.91

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Solution

The fourth proportional to 2,196.37, 3,294.51 and 552.91 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.37 : 3,294.51 = 552.91 : x
  2. Step 2: Convert to fraction form
    2,196.37/3,294.51 = 552.91/x
  3. Step 3: Cross multiply
    2,196.37x = 3,294.51 × 552.91
  4. Step 4: Simplify right side
    2,196.37x = 1,821,567.52
  5. Step 5: Solve for x
    x = 1,821,567.52/2,196.37
  6. Step 6: Final answer
    x = 829.35

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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.