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Finding the Fourth Proportional to 2,196.58, 3,296.08 and 897.96

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Solution

The fourth proportional to 2,196.58, 3,296.08 and 897.96 is: 1,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.58 : 3,296.08 = 897.96 : x
  2. Step 2: Convert to fraction form
    2,196.58/3,296.08 = 897.96/x
  3. Step 3: Cross multiply
    2,196.58x = 3,296.08 × 897.96
  4. Step 4: Simplify right side
    2,196.58x = 2,959,748.00
  5. Step 5: Solve for x
    x = 2,959,748.00/2,196.58
  6. Step 6: Final answer
    x = 1,347.43

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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.