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Finding the Fourth Proportional to 2,196.99, 3,296.01 and 898.46

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Solution

The fourth proportional to 2,196.99, 3,296.01 and 898.46 is: 1,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.99 : 3,296.01 = 898.46 : x
  2. Step 2: Convert to fraction form
    2,196.99/3,296.01 = 898.46/x
  3. Step 3: Cross multiply
    2,196.99x = 3,296.01 × 898.46
  4. Step 4: Simplify right side
    2,196.99x = 2,961,332.39
  5. Step 5: Solve for x
    x = 2,961,332.39/2,196.99
  6. Step 6: Final answer
    x = 1,347.90

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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.