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Finding the Fourth Proportional to 2,196.47, 3,296.00 and 810.77

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Solution

The fourth proportional to 2,196.47, 3,296.00 and 810.77 is: 1,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.47 : 3,296.00 = 810.77 : x
  2. Step 2: Convert to fraction form
    2,196.47/3,296.00 = 810.77/x
  3. Step 3: Cross multiply
    2,196.47x = 3,296.00 × 810.77
  4. Step 4: Simplify right side
    2,196.47x = 2,672,308.19
  5. Step 5: Solve for x
    x = 2,672,308.19/2,196.47
  6. Step 6: Final answer
    x = 1,216.64

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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.