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Finding the Fourth Proportional to 2,196.48, 3,292.74 and 808.88

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Solution

The fourth proportional to 2,196.48, 3,292.74 and 808.88 is: 1,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.48 : 3,292.74 = 808.88 : x
  2. Step 2: Convert to fraction form
    2,196.48/3,292.74 = 808.88/x
  3. Step 3: Cross multiply
    2,196.48x = 3,292.74 × 808.88
  4. Step 4: Simplify right side
    2,196.48x = 2,663,415.07
  5. Step 5: Solve for x
    x = 2,663,415.07/2,196.48
  6. Step 6: Final answer
    x = 1,212.58

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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.