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Finding the Fourth Proportional to 2,196.74, 3,308.14 and 1,911.62

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Solution

The fourth proportional to 2,196.74, 3,308.14 and 1,911.62 is: 2,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.74 : 3,308.14 = 1,911.62 : x
  2. Step 2: Convert to fraction form
    2,196.74/3,308.14 = 1,911.62/x
  3. Step 3: Cross multiply
    2,196.74x = 3,308.14 × 1,911.62
  4. Step 4: Simplify right side
    2,196.74x = 6,323,897.03
  5. Step 5: Solve for x
    x = 6,323,897.03/2,196.74
  6. Step 6: Final answer
    x = 2,878.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.